Huybrechts, Daniel
Overview
Works:  21 works in 126 publications in 3 languages and 3,073 library holdings 

Roles:  Author, Other, Creator, Thesis advisor 
Publication Timeline
.
Most widely held works by
Daniel Huybrechts
FourierMukai transforms in algebraic geometry by
Daniel Huybrechts(
)
24 editions published between 2006 and 2009 in English and Undetermined and held by 947 WorldCat member libraries worldwide
This work is based on a course given at the Institut de Mathematiques de Jussieu, on the derived category of coherent sheaves on a smooth projective variety. It is aimed at students with a basic knowledge of algebraic geometry and contains full proofs and exercises that aid the reader
24 editions published between 2006 and 2009 in English and Undetermined and held by 947 WorldCat member libraries worldwide
This work is based on a course given at the Institut de Mathematiques de Jussieu, on the derived category of coherent sheaves on a smooth projective variety. It is aimed at students with a basic knowledge of algebraic geometry and contains full proofs and exercises that aid the reader
The geometry of moduli spaces of sheaves by
Daniel Huybrechts(
)
18 editions published between 1997 and 2011 in English and held by 837 WorldCat member libraries worldwide
"Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in positive characteristic, moduli spaces of principal bundles and of complexes, Hilbert schemes of points on surfaces, derived categories of coherent sheaves, and moduli spaces of sheaves on CalabiYau threefolds. The authors review changes in the field since the publication of the original edition in 1997 and point the reader towards further literature. References have been brought up to date and errors removed. Developed from the authors' lectures, this book is ideal as a text for graduate students as well as a valuable resource for any mathematician with a background in algebraic geometry who wants to learn more about Grothendieck's approach."
18 editions published between 1997 and 2011 in English and held by 837 WorldCat member libraries worldwide
"Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in positive characteristic, moduli spaces of principal bundles and of complexes, Hilbert schemes of points on surfaces, derived categories of coherent sheaves, and moduli spaces of sheaves on CalabiYau threefolds. The authors review changes in the field since the publication of the original edition in 1997 and point the reader towards further literature. References have been brought up to date and errors removed. Developed from the authors' lectures, this book is ideal as a text for graduate students as well as a valuable resource for any mathematician with a background in algebraic geometry who wants to learn more about Grothendieck's approach."
Complex geometry : an introduction by
Daniel Huybrechts(
)
29 editions published between 2004 and 2010 in English and Undetermined and held by 715 WorldCat member libraries worldwide
"Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on the crossroad of algebraic and differential geometry. Recent developments in string theory have made it a highly attractive area, both for mathematicians and theoretical physicists. The author's goal is to provide an easily accessible introduction to the subject. The book contains detailed accounts of the basic concepts and the many exercises illustrate the theory. Appendices to various chapters allow an outlook to recent research directions."Résumé de l'éditeur
29 editions published between 2004 and 2010 in English and Undetermined and held by 715 WorldCat member libraries worldwide
"Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on the crossroad of algebraic and differential geometry. Recent developments in string theory have made it a highly attractive area, both for mathematicians and theoretical physicists. The author's goal is to provide an easily accessible introduction to the subject. The book contains detailed accounts of the basic concepts and the many exercises illustrate the theory. Appendices to various chapters allow an outlook to recent research directions."Résumé de l'éditeur
CalabiYau manifolds and related geometries : lectures at a summer school in Nordfjordeid, Norway, June 2001 by
M. W Gross(
Book
)
14 editions published between 2003 and 2011 in English and held by 309 WorldCat member libraries worldwide
"The book is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory and intended as an introductory text, requiring only limited background knowledge. Proofs or sketches are given for many important results. Exercises are provided."Jacket
14 editions published between 2003 and 2011 in English and held by 309 WorldCat member libraries worldwide
"The book is an introduction to a very active field of research, on the boundary between mathematics and physics. It is aimed at graduate students and researchers in geometry and string theory and intended as an introductory text, requiring only limited background knowledge. Proofs or sketches are given for many important results. Exercises are provided."Jacket
Lectures on K3 surfaces by
Daniel Huybrechts(
Book
)
10 editions published in 2016 in English and held by 175 WorldCat member libraries worldwide
K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of CalabiYau manifolds from various perspectives in eighteen selfcontained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and ArtinTate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers
10 editions published in 2016 in English and held by 175 WorldCat member libraries worldwide
K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of CalabiYau manifolds from various perspectives in eighteen selfcontained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and ArtinTate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers
The geometry of moduli spaces of sheaves : a publication of the MaxPlanckInstitut für Mathematik, Bonn by
Daniel Huybrechts(
Book
)
3 editions published in 1997 in English and held by 27 WorldCat member libraries worldwide
3 editions published in 1997 in English and held by 27 WorldCat member libraries worldwide
GiesekerPetri divisors and BrillNoether theory of K3sections by
Margherita LelliChiesa(
)
1 edition published in 2012 in English and held by 17 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 17 WorldCat member libraries worldwide
Stabile Vektorbündel auf algebraischen Flächen Tyurins Methode zum Studium der Geometrie der Modulräume by
Daniel Huybrechts(
)
7 editions published in 1992 in German and Undetermined and held by 17 WorldCat member libraries worldwide
7 editions published in 1992 in German and Undetermined and held by 17 WorldCat member libraries worldwide
The geometry of moduli spaces of sheaves(
Book
)
3 editions published between 1997 and 2010 in English and held by 10 WorldCat member libraries worldwide
This highly regarded book is finally back in print and now updated to reflect recent advances in the field.Résumé de l'éditeur
3 editions published between 1997 and 2010 in English and held by 10 WorldCat member libraries worldwide
This highly regarded book is finally back in print and now updated to reflect recent advances in the field.Résumé de l'éditeur
The tangent bundle of a CalabiYau manifold : deformations and restriction to rational curves by
Daniel Huybrechts(
Book
)
4 editions published in 1994 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1994 in English and held by 4 WorldCat member libraries worldwide
Quelques constructions autour de la stabilité de fibrés vectoriels sur les variétés projectives = ome constructions around
stability of vector bundles on projective varieties by
Ernesto Carlo Mistretta(
Book
)
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
This is a work on stability of vector bundles. It is made of four chapters. The first one is introductive, there we define ail the necessary notions to deal with stability, such as intersection theory, Chern classes, the motivations and definition of stability, and some notions about metrics of a stable bundle. There are no new results and ail references to the existing constructions in the literature are included. The other three parts are independent but related results. In the second chapter we show that stable bundles can be taken as generators of the Chow ring, the Ktheory and the derived category of a smooth projective variety. We use a polystable resolution of ideal sheaves. This construction leads to some natural questions, which can be found in various other contexts in the literature,which are partially answered in the other chapters. The third chapter is dedicated to the investigation about stability of vector bundles that we call transforms. These are kernels of evaluation maps on subspaces of the space of global sections of a sheaf. Stability is shown for transforms of line bundles with repsect to low codimensional subspaces. The fourth chapter consists in a similar question, concerning stability of tautological sheaves and their transforms on a symmetric product of curves
1 edition published in 2006 in English and held by 2 WorldCat member libraries worldwide
This is a work on stability of vector bundles. It is made of four chapters. The first one is introductive, there we define ail the necessary notions to deal with stability, such as intersection theory, Chern classes, the motivations and definition of stability, and some notions about metrics of a stable bundle. There are no new results and ail references to the existing constructions in the literature are included. The other three parts are independent but related results. In the second chapter we show that stable bundles can be taken as generators of the Chow ring, the Ktheory and the derived category of a smooth projective variety. We use a polystable resolution of ideal sheaves. This construction leads to some natural questions, which can be found in various other contexts in the literature,which are partially answered in the other chapters. The third chapter is dedicated to the investigation about stability of vector bundles that we call transforms. These are kernels of evaluation maps on subspaces of the space of global sections of a sheaf. Stability is shown for transforms of line bundles with repsect to low codimensional subspaces. The fourth chapter consists in a similar question, concerning stability of tautological sheaves and their transforms on a symmetric product of curves
Hodge numbers of moduli spaces of stable bundles on K3 surfaces by
Lothar Göttsche(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Framed modules and their moduli by
Daniel Huybrechts(
Book
)
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1994 in English and held by 2 WorldCat member libraries worldwide
Beste beschikbare technieken voor de verwerking van RWZI en gelijkaardig industrieel afvalwaterzuiveringsslib : eindrapport by
Daniel Huybrechts(
)
1 edition published in 2001 in Dutch and held by 2 WorldCat member libraries worldwide
1 edition published in 2001 in Dutch and held by 2 WorldCat member libraries worldwide
Framed modules and their moduli by
Daniel Huybrechts(
Book
)
2 editions published in 1994 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1994 in English and held by 2 WorldCat member libraries worldwide
Stable pairs on curves and surfaces by
Daniel Huybrechts(
Book
)
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1992 in English and held by 2 WorldCat member libraries worldwide
Beste beschikbare technieken (BBT) voor composteer en vergistingsinstallaties by
Daniel Huybrechts(
Book
)
1 edition published in 2005 in Dutch and held by 1 WorldCat member library worldwide
1 edition published in 2005 in Dutch and held by 1 WorldCat member library worldwide
Beste beschikbare technieken voor mestverwerking by T Feyaerts(
Book
)
1 edition published in 2002 in Dutch and held by 1 WorldCat member library worldwide
1 edition published in 2002 in Dutch and held by 1 WorldCat member library worldwide
Hodge numbers of moduli spaces of stable bundles on K3 surfaces by
Lothar Göttsche(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Stable pairs on curves and surfaces by
Daniel Huybrechts(
Book
)
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Lehn, Manfred Other
 Joyce, Dominic D.
 Gross, M. W. (Mark W.) 1965 Author
 Ranestad, Kristian Editor
 Olson, Loren Editor
 Ellingsrud, Geir Editor
 Strømme, Stein A. Editor
 LelliChiesa, Margherita Author
 Farkas, Gavril Other
 Aprodu, Marian Other
Useful Links
Associated Subjects
Covers
Alternative Names
Daniel Huybrechts deutscher Mathematiker
Daniel Huybrechts Duits wiskundige
Daniel Huybrechts German mathematician
Daniel Huybrechts matemàtic alemany
Daniel Huybrechts matemático alemán
Daniel Huybrechts mathématicien allemand
Daniel Huybrechts professor académico alemão
Daniel Huybrechts tysk matematikar
Daniel Huybrechts tysk matematiker
Huybrechts, D.
Huybrechts, D. 1966
Huybrechts, D. (Daniel)
Languages