Catanese, F. (Fabrizio)
Overview
Works:  85 works in 252 publications in 2 languages and 3,251 library holdings 

Genres:  Conference papers and proceedings History Biography 
Roles:  Editor, Author, dgs, Contributor, Other, Honoree 
Classifications:  QA564, 516.35 
Publication Timeline
.
Most widely held works by
F Catanese
Symplectic 4manifolds and algebraic surfaces : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September
210, 2003 by
Denis Auroux(
)
23 editions published in 2008 in English and Undetermined and held by 626 WorldCat member libraries worldwide
Modern approaches to the study of symplectic 4manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 210, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics. The volume is a coherent exposition of an active field of current research focusing on the introduction of new methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher
23 editions published in 2008 in English and Undetermined and held by 626 WorldCat member libraries worldwide
Modern approaches to the study of symplectic 4manifolds and algebraic surfaces combine a wide range of techniques and sources of inspiration. Gauge theory, symplectic geometry, pseudoholomorphic curves, singularity theory, moduli spaces, braid groups, monodromy, in addition to classical topology and algebraic geometry, combine to make this one of the most vibrant and active areas of research in mathematics. It is our hope that the five lectures of the present volume given at the C.I.M.E. Summer School held in Cetraro, Italy, September 210, 2003 will be useful to people working in related areas of mathematics and will become standard references on these topics. The volume is a coherent exposition of an active field of current research focusing on the introduction of new methods for the study of moduli spaces of complex structures on algebraic surfaces, and for the investigation of symplectic topology in dimension 4 and higher
Global aspects of complex geometry by
F Catanese(
)
17 editions published in 2006 in English and held by 587 WorldCat member libraries worldwide
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic pgeometry. Written by established experts this book is a must for mathematicians working in Complex Geometry
17 editions published in 2006 in English and held by 587 WorldCat member libraries worldwide
This collection of surveys present an overview of recent developments in Complex Geometry. Topics range from curve and surface theory through special varieties in higher dimensions, moduli theory, Kähler geometry, and group actions to Hodge theory and characteristic pgeometry. Written by established experts this book is a must for mathematicians working in Complex Geometry
Classification of irregular varieties : minimal models and Abelian varieties : proceedings of a conference held in Trento,
Italy, 1721 December, 1990 by
E Ballico(
Book
)
23 editions published between 1992 and 2006 in English and held by 560 WorldCat member libraries worldwide
M. Andreatta, E. Ballico, J. Wisniewski: Projective manifolds containing large linear subspaces;  F. Bardelli: Algebraic cohomology classes on some specialthreefolds;  Ch. Birkenhake, H. Lange: Normendomorphisms of abelian subvarieties;  C. Ciliberto, G.van der Geer: On the jacobian of ahyperplane section of a surface;  C. Ciliberto, H. Harris, M. Teixidor i Bigas: On the endomorphisms of Jac (W1d(C)) when p=1 and C has general moduli;  B. van Geemen: Projective models of Picard modular varieties;  J. Kollar, Y. Miyaoka, S. Mori: Rational curves on Fano varieties;  R. Salvati Manni: Modular forms of the fourth degree; A. Vistoli: Equivariant Grothendieck groups and equivariant Chow groups;  Trento examples; Open problems
23 editions published between 1992 and 2006 in English and held by 560 WorldCat member libraries worldwide
M. Andreatta, E. Ballico, J. Wisniewski: Projective manifolds containing large linear subspaces;  F. Bardelli: Algebraic cohomology classes on some specialthreefolds;  Ch. Birkenhake, H. Lange: Normendomorphisms of abelian subvarieties;  C. Ciliberto, G.van der Geer: On the jacobian of ahyperplane section of a surface;  C. Ciliberto, H. Harris, M. Teixidor i Bigas: On the endomorphisms of Jac (W1d(C)) when p=1 and C has general moduli;  B. van Geemen: Projective models of Picard modular varieties;  J. Kollar, Y. Miyaoka, S. Mori: Rational curves on Fano varieties;  R. Salvati Manni: Modular forms of the fourth degree; A. Vistoli: Equivariant Grothendieck groups and equivariant Chow groups;  Trento examples; Open problems
Transcendental methods in algebraic geometry : lectures given at the 3rd session of the Centro internazionale matematico estivo
(C.I.M.E.) held in Cetraro, Italy, July 412, 1994 by
JeanPierre Demailly(
Book
)
22 editions published between 1996 and 2006 in English and held by 532 WorldCat member libraries worldwide
22 editions published between 1996 and 2006 in English and held by 532 WorldCat member libraries worldwide
Homological mirror symmetry and tropical geometry by
Ricardo CastañoBernard(
)
8 editions published in 2014 in English and held by 340 WorldCat member libraries worldwide
The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of nonarchimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the "tropical" approach to GromovWitten theory, and the work of Gross and Siebert, Tropical Geometry has now become a powerful tool. Homological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993). Roughly speaking, the subject can be approached in two ways: either one uses Lagrangian torus fibrations of CalabiYau manifolds (the socalled StromingerYauZaslow picture, further developed by Kontsevich and Soibelman) or one uses Lefschetz fibrations of symplectic manifolds (suggested by Kontsevich and further developed by Seidel). Tropical Geometry studies piecewiselinear objects which appear as "degenerations" of the corresponding algebrogeometric objects
8 editions published in 2014 in English and held by 340 WorldCat member libraries worldwide
The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of nonarchimedean geometry (in particular, tropical curves) to Homological Mirror Symmetry. In combination with the subsequent work of Mikhalkin on the "tropical" approach to GromovWitten theory, and the work of Gross and Siebert, Tropical Geometry has now become a powerful tool. Homological Mirror Symmetry is the area of mathematics concentrated around several categorical equivalences connecting symplectic and holomorphic (or algebraic) geometry. The central ideas first appeared in the work of Maxim Kontsevich (1993). Roughly speaking, the subject can be approached in two ways: either one uses Lagrangian torus fibrations of CalabiYau manifolds (the socalled StromingerYauZaslow picture, further developed by Kontsevich and Soibelman) or one uses Lefschetz fibrations of symplectic manifolds (suggested by Kontsevich and further developed by Seidel). Tropical Geometry studies piecewiselinear objects which appear as "degenerations" of the corresponding algebrogeometric objects
Arithmetic geometry : Cortona, 1994(
Book
)
11 editions published in 1997 in English and Undetermined and held by 148 WorldCat member libraries worldwide
11 editions published in 1997 in English and Undetermined and held by 148 WorldCat member libraries worldwide
Complex geometry : collection of papers dedicated to Hans Grauert by
Ingrid C Bauer(
)
5 editions published between 2002 and 2013 in English and held by 75 WorldCat member libraries worldwide
This book is a collection of research articles in algebraic geometry and complex analysis dedicated to Hans Grauert. The authors and editors have made their best efforts in order that these contributions should be adequate to honour the outstanding scientist. The volume contains important new results, solutions to longstanding conjectures, elegant new proofs and new perspectives for future research. The topics range from surface theory and commutative algebra, linear systems, moduli spaces, classification theory, Kähler geometry to holomorphic dynamical systems
5 editions published between 2002 and 2013 in English and held by 75 WorldCat member libraries worldwide
This book is a collection of research articles in algebraic geometry and complex analysis dedicated to Hans Grauert. The authors and editors have made their best efforts in order that these contributions should be adequate to honour the outstanding scientist. The volume contains important new results, solutions to longstanding conjectures, elegant new proofs and new perspectives for future research. The topics range from surface theory and commutative algebra, linear systems, moduli spaces, classification theory, Kähler geometry to holomorphic dynamical systems
Problems in the theory of surfaces and their classification(
Book
)
9 editions published in 1991 in English and held by 53 WorldCat member libraries worldwide
9 editions published in 1991 in English and held by 53 WorldCat member libraries worldwide
Transcendental Methods in Algebraic Geometry : Lectures given at the 3rd Session of the Centro Internazionale Matematico Estivo
(C.I.M.E.) Held in Cetraro, Italy, July 412, 1994(
)
1 edition published in 1996 in English and held by 42 WorldCat member libraries worldwide
1 edition published in 1996 in English and held by 42 WorldCat member libraries worldwide
New trends in algebraic geometry : EuroConference on Algebraic Geometry, Warwick, July 1996 by
EuroConference on Algebraic Geometry(
)
5 editions published in 1999 in English and held by 42 WorldCat member libraries worldwide
4 The class of the locus of Jacobians5 Acknowledgments and final remarks; References; On some tensor representations of the Cremona group of the projective plane; 0 Introduction; Acknowledgments; 1 Generators and defining relations for Cr; 1.1 Generators of the Cremona group; 1.2 Defining relations between the generators P U Q; 1.2.1 The first family of special relations: the multiplication law of the projective group; 1.2.2 Generalities on edge relations; 1.2.3 The (0)edge relations; 1.2.4 The (1)edge relations; 1.2.5 The (2)edge relations; 1.2.6 Generalities on triangular relations
5 editions published in 1999 in English and held by 42 WorldCat member libraries worldwide
4 The class of the locus of Jacobians5 Acknowledgments and final remarks; References; On some tensor representations of the Cremona group of the projective plane; 0 Introduction; Acknowledgments; 1 Generators and defining relations for Cr; 1.1 Generators of the Cremona group; 1.2 Defining relations between the generators P U Q; 1.2.1 The first family of special relations: the multiplication law of the projective group; 1.2.2 Generalities on edge relations; 1.2.3 The (0)edge relations; 1.2.4 The (1)edge relations; 1.2.5 The (2)edge relations; 1.2.6 Generalities on triangular relations
Vector bundles and low codimensional subvarieties : state of the art and recent developments by
Gianfranco Casnati(
Book
)
16 editions published between 2007 and 2008 in English and Undetermined and held by 35 WorldCat member libraries worldwide
16 editions published between 2007 and 2008 in English and Undetermined and held by 35 WorldCat member libraries worldwide
Algebraic geometry : a volume in memory of Paolo Francia by
Paolo Francia(
)
5 editions published between 2002 and 2008 in English and held by 29 WorldCat member libraries worldwide
The volume consists of invited refereed research papers. The contributions cover a wide spectrum in algebraic geometry, from motives theory to numerical algebraic geometry and are mainly focused on higher dimensional varieties and Minimal Model Program and surfaces of general type. A part of the articles grew out a Conference in memory of Paolo Francia (19512000) held in Genova in September 2001 with about 70 participants
5 editions published between 2002 and 2008 in English and held by 29 WorldCat member libraries worldwide
The volume consists of invited refereed research papers. The contributions cover a wide spectrum in algebraic geometry, from motives theory to numerical algebraic geometry and are mainly focused on higher dimensional varieties and Minimal Model Program and surfaces of general type. A part of the articles grew out a Conference in memory of Paolo Francia (19512000) held in Genova in September 2001 with about 70 participants
Classification and Moduli Spaces of Surfaces of General Type with Pg = q =1 by Songbo Ling(
)
1 edition published in 2017 in English and held by 16 WorldCat member libraries worldwide
1 edition published in 2017 in English and held by 16 WorldCat member libraries worldwide
Canonical Surfaces and Hypersurfaces in in Abelian Varieties by Luca Cesarano(
Book
)
1 edition published in 2018 in English and held by 15 WorldCat member libraries worldwide
1 edition published in 2018 in English and held by 15 WorldCat member libraries worldwide
Karl Weierstraß (18151897) by Wolfgang K??nig(
Book
)
1 edition published in 2016 in German and held by 14 WorldCat member libraries worldwide
Mit diesem Band würdigt das Berliner WeierstraßInstitut für Angewandte Analysis und Stochastik (WIAS) seinen Namenspatron, den berühmten Mathematiker Karl Theodor Wilhelm Weierstraß (18151897) aus Anlass seines 200. Geburtstags. Auf Grund der großen Bedeutung vieler seiner Ergebnisse und Neuerungen und der sprichwörtlichen "Weierstraß'schen Strenge" hat der Name Weierstraß an vielen Stellen in der Mathematik einen festen Platz im allgemeinen mathematischen Sprachgebrauch erhalten. Im vorliegenden Band widmen sich eminente Mathematiker und Mathematikhistoriker zentralen Aspekten des Lebens und des Werks des Jubilars in neuen, hier erstmals veröffentlichten Aufsätzen für eine breite wissenschaftlich interessierte Öffentlichkeit. With this volume, the Weierstraß Institute for Applied Analysis and Stochastics (WIAS) at Berlin honors the man that inspired its name, the famous mathematician Karl Theodor Wilhelm Weierstraß (18151897), on the occasion of his 200th birthday. Due to the importance of many of his results and innovations and the proverbial 'Weierstrassian rigor', the name 'Weierstraß' has received in many mathematical fields a firm status in the general linguistic usage. In the present book, eight outstanding mathematicians and historians of mathematics shed light on central aspects of Karl Weierstraß's life and work in original articles written for the general public
1 edition published in 2016 in German and held by 14 WorldCat member libraries worldwide
Mit diesem Band würdigt das Berliner WeierstraßInstitut für Angewandte Analysis und Stochastik (WIAS) seinen Namenspatron, den berühmten Mathematiker Karl Theodor Wilhelm Weierstraß (18151897) aus Anlass seines 200. Geburtstags. Auf Grund der großen Bedeutung vieler seiner Ergebnisse und Neuerungen und der sprichwörtlichen "Weierstraß'schen Strenge" hat der Name Weierstraß an vielen Stellen in der Mathematik einen festen Platz im allgemeinen mathematischen Sprachgebrauch erhalten. Im vorliegenden Band widmen sich eminente Mathematiker und Mathematikhistoriker zentralen Aspekten des Lebens und des Werks des Jubilars in neuen, hier erstmals veröffentlichten Aufsätzen für eine breite wissenschaftlich interessierte Öffentlichkeit. With this volume, the Weierstraß Institute for Applied Analysis and Stochastics (WIAS) at Berlin honors the man that inspired its name, the famous mathematician Karl Theodor Wilhelm Weierstraß (18151897), on the occasion of his 200th birthday. Due to the importance of many of his results and innovations and the proverbial 'Weierstrassian rigor', the name 'Weierstraß' has received in many mathematical fields a firm status in the general linguistic usage. In the present book, eight outstanding mathematicians and historians of mathematics shed light on central aspects of Karl Weierstraß's life and work in original articles written for the general public
On simply connected Godeaux surfaces by
F Catanese(
Book
)
5 editions published in 1999 in English and German and held by 10 WorldCat member libraries worldwide
5 editions published in 1999 in English and German and held by 10 WorldCat member libraries worldwide
Singular bidouble covers and the construction of interesting algebraic surfaces by
F Catanese(
Book
)
5 editions published in 1999 in English and German and held by 10 WorldCat member libraries worldwide
5 editions published in 1999 in English and German and held by 10 WorldCat member libraries worldwide
Problems in the theory of surfaces and their classification(
Book
)
1 edition published in 1991 in English and held by 9 WorldCat member libraries worldwide
1 edition published in 1991 in English and held by 9 WorldCat member libraries worldwide
Real hyperelliptic surfaces and the orbifold fundamental group by
F Catanese(
Book
)
3 editions published in 2000 in English and German and held by 8 WorldCat member libraries worldwide
3 editions published in 2000 in English and German and held by 8 WorldCat member libraries worldwide
Homological algebra and algebraic surfaces by
F Catanese(
Book
)
4 editions published in 1997 in English and held by 8 WorldCat member libraries worldwide
4 editions published in 1997 in English and held by 8 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Ciliberto, C. (Ciro) 1950 Other Editor
 Auroux, Denis Author
 Ballico, E. (Edoardo) 1955 Other Author Editor
 Tian, Gang Editor
 Demailly, JeanPierre Other Author
 Centro internazionale matematico estivo
 Kontsevich, Maxim Editor
 Soibelman, Yan S. Editor
 Pantev, Tony 1963 Editor
 Zharkov, Ilia 1971 Editor
Useful Links
Associated Subjects
Abelian varieties Algebra, Homological Algebraic varieties Algebraic varietiesClassification theory Arithmetical algebraic geometry Cell aggregationMathematics Complex manifolds Curves, Algebraic Differential equations, Partial Functions of complex variables Functions of several complex variables Geometry Geometry, Algebraic Geometry, Differential Global analysis (Mathematics) Global differential geometry Group theory History Homology theory Manifolds (Mathematics) Mathematical analysis Mathematicians Mathematics Mirror symmetry Moduli theory Surfaces Surfaces, Algebraic Symplectic geometry Symplectic manifolds Tropical geometry Vector bundles Weierstrass, Karl,
Covers
Alternative Names
Catanese, F.
Catanese, F. 1950
Catanese, Fabrizio
Fabrizio Catanese Italiaans wiskundige
Fabrizio Catanese Italian mathematician
Fabrizio Catanese italienischer Mathematiker
Fabrizio Catanese matemàtic italià
Fabrizio Catanese matemático italiano
Fabrizio Catanese matematikan italian
Languages