Voisin, Claire 1962
Overview
Works:  44 works in 199 publications in 4 languages and 5,545 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Thesis advisor, Opponent, Other, 958, 956 
Classifications:  QA564, 516.35 
Publication Timeline
.
Most widely held works by
Claire Voisin
Hodge theory and complex algebraic geometry by
Claire Voisin(
)
95 editions published between 2002 and 2016 in English and French and held by 3,528 WorldCat member libraries worldwide
This is a modern introduction to Kaehlerian geometry and Hodge structure. It starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions. The book is is completely selfcontained and can be used by students, while its content gives an uptodate account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry
95 editions published between 2002 and 2016 in English and French and held by 3,528 WorldCat member libraries worldwide
This is a modern introduction to Kaehlerian geometry and Hodge structure. It starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions. The book is is completely selfcontained and can be used by students, while its content gives an uptodate account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry
Chow rings, decomposition of the diagonal, and the topology of families by
Claire Voisin(
)
12 editions published between 2014 and 2017 in English and held by 574 WorldCat member libraries worldwide
The contents of this work cover decomposition of the diagonal and spread, small diagonal and topology of families, Hodge structures, on the generalized Bloch and Hodge conjectures, integral Hodge classes and birational invariants, and much more
12 editions published between 2014 and 2017 in English and held by 574 WorldCat member libraries worldwide
The contents of this work cover decomposition of the diagonal and spread, small diagonal and topology of families, Hodge structures, on the generalized Bloch and Hodge conjectures, integral Hodge classes and birational invariants, and much more
Algebraic cycles and Hodge theory : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.)
held in Torino, Italy, June 2129, 1993 by
M Green(
Book
)
17 editions published in 1994 in 3 languages and held by 492 WorldCat member libraries worldwide
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and ktheory, transcendental methods in the study of algebraic cycles
17 editions published in 1994 in 3 languages and held by 492 WorldCat member libraries worldwide
The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state of the art. Thus the papers included in the proceedings are surveys and notes on the most important topics of this area of research. They include infinitesimal methods in Hodge theory; algebraic cycles and algebraic aspects of cohomology and ktheory, transcendental methods in the study of algebraic cycles
Chow Rings, Decomposition of the Diagonal, and the Topology of Families (AM187) by
Claire Voisin(
)
3 editions published between 2013 and 2014 in English and held by 341 WorldCat member libraries worldwide
""Cover""; ""Title""; ""Copyright""; ""Contents""; ""Preface""; ""1 Introduction""; ""1.1 Decomposition of the diagonal and spread""; ""1.2 The generalized Bloch conjecture""; ""1.3 Decomposition of the small diagonal and application to the topology of families""; ""1.4 Integral coefficients and birational invariants""; ""1.5 Organization of the text""; ""2 Review of Hodge theory and algebraic cycles""; ""2.1 Chow groups""; ""2.2 Hodge structures""; ""3 Decomposition of the diagonal""; ""3.1 A general principle""; ""3.2 Varieties with small Chow groups
3 editions published between 2013 and 2014 in English and held by 341 WorldCat member libraries worldwide
""Cover""; ""Title""; ""Copyright""; ""Contents""; ""Preface""; ""1 Introduction""; ""1.1 Decomposition of the diagonal and spread""; ""1.2 The generalized Bloch conjecture""; ""1.3 Decomposition of the small diagonal and application to the topology of families""; ""1.4 Integral coefficients and birational invariants""; ""1.5 Organization of the text""; ""2 Review of Hodge theory and algebraic cycles""; ""2.1 Chow groups""; ""2.2 Hodge structures""; ""3 Decomposition of the diagonal""; ""3.1 A general principle""; ""3.2 Varieties with small Chow groups
Mirror symmetry by
Claire Voisin(
Book
)
17 editions published between 1996 and 1999 in English and French and held by 278 WorldCat member libraries worldwide
17 editions published between 1996 and 1999 in English and French and held by 278 WorldCat member libraries worldwide
Moduli of Curves Cimat Guanajuato, Mexico 2016 by CIMPACIMATICTP School on "Moduli of Curves"(
)
7 editions published in 2017 in English and German and held by 205 WorldCat member libraries worldwide
Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young people who want to approach this important field, and also for established researchers, who will find references, problems, original expositions, new viewpoints, etc. The book collects the lecture notes of a number of leading algebraic geometers and in particular specialists in the field of moduli spaces of curves and their geometry. This is an important subject in algebraic geometry and complex analysis which has seen spectacular developments in recent decades, with important applications to other parts of mathematics such as birational geometry and enumerative geometry, and to other sciences, including physics. The themes treated are classical but with a constant look to modern developments (see Cascini, Debarre, Farkas, and Sernesi's contributions), and include very new material, such as Bridgeland stability (see Macri's lecture notes) and tropical geometry (see Chan's lecture notes).
7 editions published in 2017 in English and German and held by 205 WorldCat member libraries worldwide
Providing a timely description of the present state of the art of moduli spaces of curves and their geometry, this volume is written in a way which will make it extremely useful both for young people who want to approach this important field, and also for established researchers, who will find references, problems, original expositions, new viewpoints, etc. The book collects the lecture notes of a number of leading algebraic geometers and in particular specialists in the field of moduli spaces of curves and their geometry. This is an important subject in algebraic geometry and complex analysis which has seen spectacular developments in recent decades, with important applications to other parts of mathematics such as birational geometry and enumerative geometry, and to other sciences, including physics. The themes treated are classical but with a constant look to modern developments (see Cascini, Debarre, Farkas, and Sernesi's contributions), and include very new material, such as Bridgeland stability (see Macri's lecture notes) and tropical geometry (see Chan's lecture notes).
Topologie des variétés algébriques complexes by
Claire Voisin(
Book
)
2 editions published in 2017 in French and held by 44 WorldCat member libraries worldwide
La géométrie algébrique fait intervenir des domaines mathématiques comme la topologie, la géométrie analytique et la géométrie différentielle. Claire voisin aborde dans sa leçon plusieurs notions de géométrie complexe (fonctions holomorphes, variétés algébriques, cartes locales) et de topologie (homologie singulière, théorie des faisceaux), ainsi que son domaine de spécialité : la théorie de Hodge. Outil déterminant pour étudier la topologie des variétés algébriques, cette théorie est le cadre d'un des sept défis mathématiques du millénaire posés par l'Institut de mathématiques Clay en 2000
2 editions published in 2017 in French and held by 44 WorldCat member libraries worldwide
La géométrie algébrique fait intervenir des domaines mathématiques comme la topologie, la géométrie analytique et la géométrie différentielle. Claire voisin aborde dans sa leçon plusieurs notions de géométrie complexe (fonctions holomorphes, variétés algébriques, cartes locales) et de topologie (homologie singulière, théorie des faisceaux), ainsi que son domaine de spécialité : la théorie de Hodge. Outil déterminant pour étudier la topologie des variétés algébriques, cette théorie est le cadre d'un des sept défis mathématiques du millénaire posés par l'Institut de mathématiques Clay en 2000
Variations of Hodge structure of CalabiYau threefolds : Lezioni Lagrange, Roma 1996 by
Claire Voisin(
Book
)
2 editions published in 1998 in Italian and English and held by 10 WorldCat member libraries worldwide
2 editions published in 1998 in Italian and English and held by 10 WorldCat member libraries worldwide
Chow rings by
Claire Voisin(
)
2 editions published in 2014 in English and held by 9 WorldCat member libraries worldwide
2 editions published in 2014 in English and held by 9 WorldCat member libraries worldwide
Maladies respiratoires professionnelles : diagnostic et reparation : rapport du groupe de travail de la Société de Pneumologie
de Langue Française(
Book
)
2 editions published in 1990 in French and held by 5 WorldCat member libraries worldwide
2 editions published in 1990 in French and held by 5 WorldCat member libraries worldwide
Bilan d'extension préthérapeutique du cancer bronchique non à petites cellules : conférence de consensus : Nice, jeudi
9 janvier 1992(
Book
)
1 edition published in 1992 in French and held by 5 WorldCat member libraries worldwide
1 edition published in 1992 in French and held by 5 WorldCat member libraries worldwide
Variations of Hodge structure of CalabiYau threefolds by
Claire Voisin(
Book
)
3 editions published in 1998 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 4 WorldCat member libraries worldwide
Théorème de Torelli pour les cubiques de IP⁵(C) by
Claire Voisin(
Book
)
2 editions published in 1986 in French and held by 4 WorldCat member libraries worldwide
ON ETUDIE LE PROBLEME DE TORELLI POUR LES CUBIQUES CONTENANT UN PLAN; CE SONT DES FIBRES EN QUADRIQUES ET LEUR STRUCTURE DE HODGE SE DEDUIT DE CELLE D'UNE SURFACE K3, POUR LAQUELLE LE THEOREME DE TORELLI EST CONNU, MODULO LA DONNEE D'UNE "CLASSE D'EXTENSION". ON PROUVE QUE SI LA STRUCTURE DE HOGDE D'UNE CUBIQUE POSSEDE UNE CLASSE ENTIERE DE TYPE (2,2) SATISFAISANT LES CONDITIONS NUMERIQUES DE LA CLASSE D'UN PLAN, LA CUBIQUE CONTIENT UN PLAN: VIA L'APPLICATION D'ABELJACOBI, LE PROBLEME EST RAMENEE A L'EFFECTIVITE D'UN DIVISEUR SUR LA VARIETE DES DROITES DE LA CUBIQUE. ON DEMONTRE QUE L'APPLICATION DES PERIODES GLOBALES EST NON RAMIFIEE, ET EN UTILISANT L'AMPLITUDE DE L'HYPERSURFACE DES CUBIQUES CONTENANT UN PLAN; ENFIN, LE THEOREME DE TORELLI INFINITESIMAL ENTRAINE QUE "TORELLI GENERIQUE" EQUIVANT A "TORELLI GLOBAL
2 editions published in 1986 in French and held by 4 WorldCat member libraries worldwide
ON ETUDIE LE PROBLEME DE TORELLI POUR LES CUBIQUES CONTENANT UN PLAN; CE SONT DES FIBRES EN QUADRIQUES ET LEUR STRUCTURE DE HODGE SE DEDUIT DE CELLE D'UNE SURFACE K3, POUR LAQUELLE LE THEOREME DE TORELLI EST CONNU, MODULO LA DONNEE D'UNE "CLASSE D'EXTENSION". ON PROUVE QUE SI LA STRUCTURE DE HOGDE D'UNE CUBIQUE POSSEDE UNE CLASSE ENTIERE DE TYPE (2,2) SATISFAISANT LES CONDITIONS NUMERIQUES DE LA CLASSE D'UN PLAN, LA CUBIQUE CONTIENT UN PLAN: VIA L'APPLICATION D'ABELJACOBI, LE PROBLEME EST RAMENEE A L'EFFECTIVITE D'UN DIVISEUR SUR LA VARIETE DES DROITES DE LA CUBIQUE. ON DEMONTRE QUE L'APPLICATION DES PERIODES GLOBALES EST NON RAMIFIEE, ET EN UTILISANT L'AMPLITUDE DE L'HYPERSURFACE DES CUBIQUES CONTENANT UN PLAN; ENFIN, LE THEOREME DE TORELLI INFINITESIMAL ENTRAINE QUE "TORELLI GENERIQUE" EQUIVANT A "TORELLI GLOBAL
Hodge theory and complex algebraic geometry I by
Claire Voisin(
)
2 editions published between 2002 and 2010 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 2002 and 2010 in English and held by 3 WorldCat member libraries worldwide
Géométrie des variétés rationnellement connexes by
Wenhao Ou(
)
1 edition published in 2015 in English and held by 3 WorldCat member libraries worldwide
In this dissertation, we study several subjects on the geometry of rationally connected varieties. A complex variety is called rationally connected if for two general points, there is a rational curve passing through them. The first subject we study is the base of a Lagrangian fibration of a projective irreducible symplectic fourfold. We prove that there are at most two possibilities for the base. In the second part, we classify certain type of Fano varieties. In the end, we study the structures of singular rationally connected varieties which carry nonzero pluriforms
1 edition published in 2015 in English and held by 3 WorldCat member libraries worldwide
In this dissertation, we study several subjects on the geometry of rationally connected varieties. A complex variety is called rationally connected if for two general points, there is a rational curve passing through them. The first subject we study is the base of a Lagrangian fibration of a projective irreducible symplectic fourfold. We prove that there are at most two possibilities for the base. In the second part, we classify certain type of Fano varieties. In the end, we study the structures of singular rationally connected varieties which carry nonzero pluriforms
Une application d'Albanese supérieure pour les variétés complexes projectives lisses de dimension trois d'après une construction
de M. Green by
Lorenz Schneider(
Book
)
1 edition published in 2001 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 3 WorldCat member libraries worldwide
Courbes rationnelles et diviseurs nef pour certaines variétés génériques by
Gianluca Pacienza(
Book
)
1 edition published in 2001 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2001 in English and held by 3 WorldCat member libraries worldwide
Conjectures de Hodge et de Bloch pour les hypersurfaces projectives complexes de bas degré by
Anna Otwinowska(
Book
)
1 edition published in 2000 in French and held by 3 WorldCat member libraries worldwide
1 edition published in 2000 in French and held by 3 WorldCat member libraries worldwide
Relation hôtebactéries au niveau des voies respiratoires : Journées immunologiques, Fondation francoallemande, Paris,
2526 novembre 1982 by Immunologische Tage(
Book
)
2 editions published between 1982 and 1983 in French and held by 2 WorldCat member libraries worldwide
2 editions published between 1982 and 1983 in French and held by 2 WorldCat member libraries worldwide
Algebraic Cycles and Hodge Theory : Lectures given at the 2nd Session of the Centro Internationale Matematico Estivo (C.I.M.E.)
held in Torino, Italy, June 2129, 1993(
)
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2004 in English and held by 2 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Schneps, Leila Translator Contributor
 Murre, Jacob P. 1929 Other
 Albano, Alberto Other Editor
 Bardelli, F. (Fabio) Other Editor
 Green, M. (Mark) Other Author
 Esteves, Eduardo Editor
 Melo, Margarida (Mathematician) Editor
 Ciliberto, C. (Ciro) 1950 Editor
 Brambila, L. (Leticia) Editor
 Cooke, Roger Translator
Useful Links
Associated Subjects
Algebra, Homological Algebraic cycles Algebraic topology Algebraic varieties CalabiYau manifolds Categories (Mathematics) Curves, Algebraic Decomposition (Mathematics) Geometry, Algebraic Geometry, Projective Hodge theory Homology theory Manifolds (Mathematics) Mathematics Mirror symmetry Moduli theory Quantum field theory Symmetry (Physics)
Covers
Alternative Names
Claire Voisin Frans wiskundige
Claire Voisin fransk matematikar
Claire Voisin fransk matematiker
Claire Voisin französische Mathematikerin
Claire Voisin mathematician
Claire Voisin mathématicienne française
Voisin, C.
Voisin, C. 1962
Voisin, C. (Claire)
Voisin, C. (Claire), 1962
Voisin, Cl 1962
Voisin, Claire
Клер Вуазен
Клэр Вуазен математик
קלייר וואזן
کلر ویسین ریاضیدان فرانسوی
클레르 부아쟁
克萊爾·瓦贊
Languages