Tschinkel, Yuri
Overview
Works:  60 works in 258 publications in 2 languages and 6,217 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author, htt, Other 
Publication Timeline
.
Most widely held works by
Yuri Tschinkel
Higherdimensional geometry over finite fields by
D Kaledin(
)
9 editions published in 2008 in English and held by 1,525 WorldCat member libraries worldwide
Number systems based on a finite collection of symbols, such as the 0s and 1s of computer circuitry, are ubiquitous in the modern age. Finite fields are the important number systems. This title introduces the reader to the developments in algebraic geometry over finite fields
9 editions published in 2008 in English and held by 1,525 WorldCat member libraries worldwide
Number systems based on a finite collection of symbols, such as the 0s and 1s of computer circuitry, are ubiquitous in the modern age. Finite fields are the important number systems. This title introduces the reader to the developments in algebraic geometry over finite fields
Eisenstein series and applications by
Wee Teck Gan(
)
25 editions published between 2007 and 2008 in English and held by 946 WorldCat member libraries worldwide
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of Lfunctions. Introducing the users of Eisenstein series to important applications, this work focuses on the common structural properties of Eisenstein series, along with the consideration of key problems in the field
25 editions published between 2007 and 2008 in English and held by 946 WorldCat member libraries worldwide
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of Lfunctions. Introducing the users of Eisenstein series to important applications, this work focuses on the common structural properties of Eisenstein series, along with the consideration of key problems in the field
Algebra, arithmetic, and geometry : in honor of Yu. I. Manin by
Yuri Tschinkel(
)
47 editions published between 2008 and 2011 in English and held by 661 WorldCat member libraries worldwide
The two volumes of "Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kont
47 editions published between 2008 and 2011 in English and held by 661 WorldCat member libraries worldwide
The two volumes of "Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kont
Geometric methods in algebra and number theory by
Fedor Bogomolov(
)
18 editions published between 2005 and 2006 in English and Undetermined and held by 647 WorldCat member libraries worldwide
"This volume contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory. The collection gives a representative sample of problems and the most recent results in algebraic and arithmetic geometry; the text can serve as an intense introduction for graduate students and those wishing to pursue research in these areas."Jacket
18 editions published between 2005 and 2006 in English and Undetermined and held by 647 WorldCat member libraries worldwide
"This volume contains a selection of articles exploring geometric approaches to problems in algebra, algebraic geometry and number theory. The collection gives a representative sample of problems and the most recent results in algebraic and arithmetic geometry; the text can serve as an intense introduction for graduate students and those wishing to pursue research in these areas."Jacket
Cohomological and geometric approaches to rationality problems : new perspectives by
Fedor Bogomolov(
)
17 editions published between 2009 and 2010 in English and held by 527 WorldCat member libraries worldwide
"This comprehensive text consists of surveys and research papers by leading specialists in the field. Topics discussed include the rationality of quotient spaces, cohomological invariants of finite groups of Lie type, rationality of moduli spaces of curves, and rational points on algebraic varieties. This volume is intended for research mathematicians and graduate students interested in algebraic geometry, and specifically in rationality problems."Jacket
17 editions published between 2009 and 2010 in English and held by 527 WorldCat member libraries worldwide
"This comprehensive text consists of surveys and research papers by leading specialists in the field. Topics discussed include the rationality of quotient spaces, cohomological invariants of finite groups of Lie type, rationality of moduli spaces of curves, and rational points on algebraic varieties. This volume is intended for research mathematicians and graduate students interested in algebraic geometry, and specifically in rationality problems."Jacket
Birational geometry, rational curves, and arithmetic by
Fedor A Bogomolov(
)
12 editions published between 2013 and 2015 in English and held by 436 WorldCat member libraries worldwide
This book features recent developments in a rapidly growing area at the interface of higherdimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine equations and geometry is the study of lines and conics. From the modern standpoint, arithmetic is the study of rational and integral points on algebraic varieties over nonclosed fields. A major insight of the 20th century was that arithmetic properties of an algebraic variety are tightly linked to the geometry of rational curves on the variety and how they vary in families. This collection of solicited survey and research papers is intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems. Topics that will be addressed include: birational properties such as rationality, unirationality, and rational connectedness, existence of rational curves in prescribed homology classes, cones of rational curves on rationally connected and CalabiYau varieties, as well as related questions within the framework of the Minimal Model Program
12 editions published between 2013 and 2015 in English and held by 436 WorldCat member libraries worldwide
This book features recent developments in a rapidly growing area at the interface of higherdimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine equations and geometry is the study of lines and conics. From the modern standpoint, arithmetic is the study of rational and integral points on algebraic varieties over nonclosed fields. A major insight of the 20th century was that arithmetic properties of an algebraic variety are tightly linked to the geometry of rational curves on the variety and how they vary in families. This collection of solicited survey and research papers is intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems. Topics that will be addressed include: birational properties such as rationality, unirationality, and rational connectedness, existence of rational curves in prescribed homology classes, cones of rational curves on rationally connected and CalabiYau varieties, as well as related questions within the framework of the Minimal Model Program
Arithmetic of higherdimensional algebraic varieties by
Bjorn Poonen(
Book
)
12 editions published between 2003 and 2004 in English and held by 296 WorldCat member libraries worldwide
One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics: complex algebraic geometry, Galois and étale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory. This text, which focuses on higherdimensional varieties, provides precisely such an interdisciplinary view of the subject. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higherdimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry. Contributors: Batyrev, V.V.; Broberg, N.; ColliotThélène, JL.; Ellenberg, J.S.; Gille, P.; Graber, T.; Harari, D.; Harris, J.; Hassett, B.; HeathBrown, R.; Mazur, B.; Peyre, E.; Poonen, B.; Popov, O.N.; Raskind, W.; Salberger, P.; Scharaschkin, V.; Shalika, J.; Starr, J.; SwinnertonDyer, P.; TaklooBighash, R.; Tschinkel, Y.: Voloch, J.F.; Wittenberg, O
12 editions published between 2003 and 2004 in English and held by 296 WorldCat member libraries worldwide
One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics: complex algebraic geometry, Galois and étale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory. This text, which focuses on higherdimensional varieties, provides precisely such an interdisciplinary view of the subject. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higherdimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry. Contributors: Batyrev, V.V.; Broberg, N.; ColliotThélène, JL.; Ellenberg, J.S.; Gille, P.; Graber, T.; Harari, D.; Harris, J.; Hassett, B.; HeathBrown, R.; Mazur, B.; Peyre, E.; Poonen, B.; Popov, O.N.; Raskind, W.; Salberger, P.; Scharaschkin, V.; Shalika, J.; Starr, J.; SwinnertonDyer, P.; TaklooBighash, R.; Tschinkel, Y.: Voloch, J.F.; Wittenberg, O
Rational points on algebraic varieties by
Emmanuel Peyre(
Book
)
11 editions published between 2001 and 2002 in English and Undetermined and held by 296 WorldCat member libraries worldwide
"This book is devoted to the study of rational and integral points on higherdimensional algebraic varieties. It contains carefully selected research papers addressing the arithmetic geometry of varieties which are not of general type, with an emphasis on how rational points are distributed with respect to the classical, Zariski and adelic topologies. The present volume gives a glimpse of the state of the art of this rapidly expanding domain in arithmetic geometry. The techniques involve explicit geometric constructions, ideas from the minimal model program in algebraic geometry as well as analytic number theory and harmonic analysis on adelic groups."Jacket
11 editions published between 2001 and 2002 in English and Undetermined and held by 296 WorldCat member libraries worldwide
"This book is devoted to the study of rational and integral points on higherdimensional algebraic varieties. It contains carefully selected research papers addressing the arithmetic geometry of varieties which are not of general type, with an emphasis on how rational points are distributed with respect to the classical, Zariski and adelic topologies. The present volume gives a glimpse of the state of the art of this rapidly expanding domain in arithmetic geometry. The techniques involve explicit geometric constructions, ideas from the minimal model program in algebraic geometry as well as analytic number theory and harmonic analysis on adelic groups."Jacket
Algebra, geometry, and physics in the 21st century : Kontsevich festschrift by
Denis Auroux(
)
15 editions published in 2017 in English and German and held by 267 WorldCat member libraries worldwide
This volume is a tribute to Maxim Kontsevich, one of the most original and influential mathematicians of our time. Maxim's vision has inspired major developments in many areas of mathematics, ranging all the way from probability theory to motives over finite fields, and has brought forth a paradigm shift at the interface of modern geometry and mathematical physics. Many of his papers have opened completely new directions of research and led to the solutions of many classical problems. This book collects papers by leading experts currently engaged in research on topics close to Maxim's heart. Contributors: S. Donaldson A. Goncharov D. Kaledin M. Kapranov A. Kapustin L. Katzarkov A. Noll P. Pandit S. Pimenov J. Ren P. Seidel C. Simpson Y. Soibelman R. Thorngren.
15 editions published in 2017 in English and German and held by 267 WorldCat member libraries worldwide
This volume is a tribute to Maxim Kontsevich, one of the most original and influential mathematicians of our time. Maxim's vision has inspired major developments in many areas of mathematics, ranging all the way from probability theory to motives over finite fields, and has brought forth a paradigm shift at the interface of modern geometry and mathematical physics. Many of his papers have opened completely new directions of research and led to the solutions of many classical problems. This book collects papers by leading experts currently engaged in research on topics close to Maxim's heart. Contributors: S. Donaldson A. Goncharov D. Kaledin M. Kapranov A. Kapustin L. Katzarkov A. Noll P. Pandit S. Pimenov J. Ren P. Seidel C. Simpson Y. Soibelman R. Thorngren.
Geometry over nonclosed fields by Geometry over nonclosed fields(
)
11 editions published between 2017 and 2018 in English and German and held by 219 WorldCat member libraries worldwide
Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves on higherdimensional algebraic varieties and applications of the theory of curves to arithmetic problems. There has been significant progress in this field with major new results, which have given new impetus to the study of rational curves and spaces of rational curves on K3 surfaces and their higherdimensional generalizations. One main recent insight the book covers is the idea that the geometry of rational curves is tightly coupled to properties of derived categories of sheaves on K3 surfaces. The implementation of this idea led to proofs of longstanding conjectures concerning birational properties of holomorphic symplectic varieties, which in turn should yield new theorems in arithmetic. This proceedings volume covers these new insights in detail
11 editions published between 2017 and 2018 in English and German and held by 219 WorldCat member libraries worldwide
Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves on higherdimensional algebraic varieties and applications of the theory of curves to arithmetic problems. There has been significant progress in this field with major new results, which have given new impetus to the study of rational curves and spaces of rational curves on K3 surfaces and their higherdimensional generalizations. One main recent insight the book covers is the idea that the geometry of rational curves is tightly coupled to properties of derived categories of sheaves on K3 surfaces. The implementation of this idea led to proofs of longstanding conjectures concerning birational properties of holomorphic symplectic varieties, which in turn should yield new theorems in arithmetic. This proceedings volume covers these new insights in detail
Analytic number theory : a tribute to Gauss and Dirichlet by GaussDirichlet Conference(
Book
)
8 editions published in 2007 in English and held by 151 WorldCat member libraries worldwide
8 editions published in 2007 in English and held by 151 WorldCat member libraries worldwide
Rational points, rational curves, and entire holomorphic curves on projective varieties : CRM short thematic program, June
328, 2013, Centre de Recherches Mathématiques, Université de Montréal, Québec, Canada by
Carlo Gasbarri(
)
12 editions published between 2012 and 2015 in English and held by 74 WorldCat member libraries worldwide
"The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higherdimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on special varieties, understanding global geometric properties of rationally connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in diophantine approximation."Page 4 de la couverture
12 editions published between 2012 and 2015 in English and held by 74 WorldCat member libraries worldwide
"The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higherdimensional algebraic varieties. The main areas of the program were, among others, proving density of rational points in Zariski or analytic topology on special varieties, understanding global geometric properties of rationally connected varieties, as well as connections between geometry and algebraic dynamics exploring new geometric techniques in diophantine approximation."Page 4 de la couverture
Algebra, Arithmetic, and Geometry : Volume II: In Honor of Yu. I. Manin by
Yuri Tschinkel(
)
2 editions published in 2009 in English and held by 27 WorldCat member libraries worldwide
Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising from Manin's outstanding contributions to mathematics. Contributors in the second volume: M. Harris, D. Kaledin, M. Kapranov, N.M. Katz, R.M. Kaufmann, J. Kollár, M. Kontsevich, M. Larsen, M. Markl, L. Merel, S.A. Merkulov, M.V. Movshev, E. Mukhin, J. Nekovár, V.V. Nikulin, O. Ogievetsky, F. Oort, D. Orlov, A. Panchishkin, I. Penkov, A. Polishchuk, P. Sarnak, V. Schechtman, V. Tarasov, A.S. Tikhomirov, J. Tsimerman, K. Vankov, A. Varchenko, A. Vishik, A.A. Voronov, Yu. Zarhin, Th. Zink
2 editions published in 2009 in English and held by 27 WorldCat member libraries worldwide
Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists of invited expository and research articles on new developments arising from Manin's outstanding contributions to mathematics. Contributors in the second volume: M. Harris, D. Kaledin, M. Kapranov, N.M. Katz, R.M. Kaufmann, J. Kollár, M. Kontsevich, M. Larsen, M. Markl, L. Merel, S.A. Merkulov, M.V. Movshev, E. Mukhin, J. Nekovár, V.V. Nikulin, O. Ogievetsky, F. Oort, D. Orlov, A. Panchishkin, I. Penkov, A. Polishchuk, P. Sarnak, V. Schechtman, V. Tarasov, A.S. Tikhomirov, J. Tsimerman, K. Vankov, A. Varchenko, A. Vishik, A.A. Voronov, Yu. Zarhin, Th. Zink
Algebra, arithmetic, and geometry : in honor of Y.I. Manin(
Book
)
3 editions published between 2009 and 2010 in English and held by 19 WorldCat member libraries worldwide
3 editions published between 2009 and 2010 in English and held by 19 WorldCat member libraries worldwide
Algebraic groups summer school, 27.06.  13.07.2005(
)
1 edition published in 2007 in English and held by 18 WorldCat member libraries worldwide
1 edition published in 2007 in English and held by 18 WorldCat member libraries worldwide
Algebra, Arithmetic, and Geometry by
Yuri Tschinkel(
)
2 editions published in 2010 in English and held by 16 WorldCat member libraries worldwide
The two volumes of ""Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin"" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kontsevich
2 editions published in 2010 in English and held by 16 WorldCat member libraries worldwide
The two volumes of ""Algebra, Arithmetic, and Geometry: In Honor of Y.I. Manin"" are composed of invited expository articles and extensions detailing Manin's contributions to the subjects, and are in celebration of his 70th birthday. The wellrespected and distinguished contributors include: Behrend, Berkovich, Bost, Bressler, Calaque, Carlson, ChambertLoir, Colombo, Connes, Consani, Dabrowski, Deninger, Dolgachev, Donaldson, Ekedahl, Elsenhans, Enriques, Etingof, Fock, Friedlander, Geemen, Getzler, Goncharov, Harris, Iskovskikh, Jahnel, Kaledin, Kapranov, Katz, Kaufmann, Kollar, Kontsevich
Algebraic Groups : Mathematisches Institut, GeorgAugustUniversität Göttingen, Summer School, 27.6.13.7.2005 by Summer school on Algebraic groups(
Book
)
3 editions published in 2007 in English and held by 14 WorldCat member libraries worldwide
3 editions published in 2007 in English and held by 14 WorldCat member libraries worldwide
Algebra, arithmetic, and geometry by
Yuri Tschinkel(
)
2 editions published in 2009 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2009 in English and held by 5 WorldCat member libraries worldwide
Seminars summer term 2004 by Mathematisches Institut(
Book
)
2 editions published in 2004 in English and held by 5 WorldCat member libraries worldwide
This volume contains lecture notes from the seminars [alpha]Number Theory±, [alpha]Algebraic Geometry± and [alpha]Geometric methods in representation theory± which took place at the Mathematics Institute of the University of Göttingen during the Summer Term 2004. Most contributions report on recent work by the authors
2 editions published in 2004 in English and held by 5 WorldCat member libraries worldwide
This volume contains lecture notes from the seminars [alpha]Number Theory±, [alpha]Algebraic Geometry± and [alpha]Geometric methods in representation theory± which took place at the Mathematics Institute of the University of Göttingen during the Summer Term 2004. Most contributions report on recent work by the authors
Rational curves and points on K3 surfaces by
Fedor Bogomolov(
Book
)
3 editions published in 2003 in English and held by 5 WorldCat member libraries worldwide
3 editions published in 2003 in English and held by 5 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Bogomolov, Fedor 1946 Author Editor
 Kaledin, Dmitri Author
 North Atlantic Treaty Organization Public Diplomacy Division
 Gan, Wee Teck Author Editor
 Kudla, Stephen S. 1950 Editor
 Zarhin, Yuri 1951 Editor
 Hassett, Brendan Author Editor
 Manin, I︠U︡. I. Honoree Author Dedicatee
 Peyre, Emmanuel Author Editor
 Poonen, Bjorn Editor
Useful Links
Associated Subjects
Algebra Algebra, Homological Algebraic fields Algebraic varieties Arithmetic Arithmetical algebraic geometry Categories (Mathematics) Curves Curves, Algebraic Differential equations, Partial Eisenstein series Field theory (Physics) Finite fields (Algebra) Finite geometries Geometry Geometry, Algebraic Geometry, Differential Group theory Homology theory Lie algebras Linear algebraic groups Mathematical physics Mathematics Number theory Rational points (Geometry) Topological groups
Covers
Alternative Names
Činkelʹ, Jurij 1964
Tschinkel, Yuri
Yuri Tschinkel Duits wiskundige
Yuri Tschinkel German mathematician
Yuri Tschinkel matemàtic alemany
Yuri Tschinkel matemático alemán
Yuri Tschinkel mathématicien allemand
Yuri Tschinkel professor académico alemão
Yuri Tschinkel tysk matematikar
Yuri Tschinkel tysk matematiker
Юрий Чинкель математик
Languages