Demailly, JeanPierre
Overview
Works:  59 works in 163 publications in 3 languages and 2,750 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Author of introduction, Thesis advisor, Editor, 956, Creator, Opponent, Other, Honoree, Interviewee, 958 
Classifications:  QA3, 005.133 
Publication Timeline
.
Most widely held works by
JeanPierre Demailly
Analyse numérique et équations différentielles by
JeanPierre Demailly(
)
29 editions published between 1991 and 2016 in 3 languages and held by 1,552 WorldCat member libraries worldwide
This is an introductory course to the theory of ordinary differential equations: techniques of number theory, basic results of existence theorems, singularities, and uniformity of the solutions of differential equations. This work describes number theory methods such as peano numbers and axioms. Exercises and problems are provided. This is a work for graduate students in the sciences or engineering school or for math teachers
29 editions published between 1991 and 2016 in 3 languages and held by 1,552 WorldCat member libraries worldwide
This is an introductory course to the theory of ordinary differential equations: techniques of number theory, basic results of existence theorems, singularities, and uniformity of the solutions of differential equations. This work describes number theory methods such as peano numbers and axioms. Exercises and problems are provided. This is a work for graduate students in the sciences or engineering school or for math teachers
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
)
21 editions published between 1996 and 2006 in English and Undetermined and held by 534 WorldCat member libraries worldwide
21 editions published between 1996 and 2006 in English and Undetermined and held by 534 WorldCat member libraries worldwide
Pluripotential theory : Cetraro, Italy 2011 by
Giorgio Patrizio(
Book
)
6 editions published in 2013 in English and held by 114 WorldCat member libraries worldwide
Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex MongeAmpére equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions provide an extensive description of the theory and its very recent developments, starting from basic introductory materials and concluding with open questions in current research
6 editions published in 2013 in English and held by 114 WorldCat member libraries worldwide
Pluripotential theory is a very powerful tool in geometry, complex analysis and dynamics. This volume brings together the lectures held at the 2011 CIME session on "pluripotential theory" in Cetraro, Italy. This CIME course focused on complex MongeAmpére equations, applications of pluripotential theory to Kahler geometry and algebraic geometry and to holomorphic dynamics. The contributions provide an extensive description of the theory and its very recent developments, starting from basic introductory materials and concluding with open questions in current research
Mesures de MongeAmpère et caractérisation géométrique des variétés algébriques affines by
JeanPierre Demailly(
Book
)
13 editions published in 1985 in 3 languages and held by 108 WorldCat member libraries worldwide
13 editions published in 1985 in 3 languages and held by 108 WorldCat member libraries worldwide
Programmation en Python pour les mathématiques : cours et exercices by
Alexandre CasamayouBoucau(
Book
)
1 edition published in 2016 in French and held by 104 WorldCat member libraries worldwide
Guide sur le langage de programmation libre Python 3, permettant une approche des bases de la programmation. Propose des conseils pour acquérir et installer Python, et présente ses fonctionnalités applicables aux mathématiques, ainsi que les problèmes qu'il permet de résoudre. Avec des compléments en ligne.[Memento]
1 edition published in 2016 in French and held by 104 WorldCat member libraries worldwide
Guide sur le langage de programmation libre Python 3, permettant une approche des bases de la programmation. Propose des conseils pour acquérir et installer Python, et présente ses fonctionnalités applicables aux mathématiques, ainsi que les problèmes qu'il permet de résoudre. Avec des compléments en ligne.[Memento]
Gewöhnliche Differentialgleichungen : theoretische und numerische Aspekte by
JeanPierre Demailly(
Book
)
4 editions published between 1991 and 1994 in German and held by 93 WorldCat member libraries worldwide
4 editions published between 1991 and 1994 in German and held by 93 WorldCat member libraries worldwide
Analytic methods in algebraic geometry by
JeanPierre Demailly(
Book
)
10 editions published between 2010 and 2012 in English and held by 58 WorldCat member libraries worldwide
10 editions published between 2010 and 2012 in English and held by 58 WorldCat member libraries worldwide
School on Vanishing theorems and effective results in algebraic geometry by School on Vanishing Theorems and Effective Results in Algebraic Geometry(
Book
)
16 editions published in 2001 in English and Undetermined and held by 45 WorldCat member libraries worldwide
16 editions published in 2001 in English and Undetermined and held by 45 WorldCat member libraries worldwide
Programmation en Python pour les mathématiques : cours et exercices by
Alexandre CasamayouBoucau(
)
2 editions published between 2012 and 2016 in French and held by 30 WorldCat member libraries worldwide
2 editions published between 2012 and 2016 in French and held by 30 WorldCat member libraries worldwide
Journée en l'honneur de Henri Cartan [Journée annuelle, Société mathématique de France, 1997] by
Société mathématique de France(
Book
)
7 editions published in 1997 in French and held by 24 WorldCat member libraries worldwide
7 editions published in 1997 in French and held by 24 WorldCat member libraries worldwide
Analyse numérique et équations différentielles : 4ème édition by
JeanPierre Demailly(
)
3 editions published in 2016 in French and English and held by 5 WorldCat member libraries worldwide
3 editions published in 2016 in French and English and held by 5 WorldCat member libraries worldwide
Sur différents aspects de la positivité en analyse complexe by
JeanPierre Demailly(
Book
)
1 edition published in 1982 in French and held by 4 WorldCat member libraries worldwide
1 edition published in 1982 in French and held by 4 WorldCat member libraries worldwide
Complex analytic and differential geometry by
JeanPierre Demailly(
Book
)
3 editions published between 1997 and 2018 in English and held by 4 WorldCat member libraries worldwide
3 editions published between 1997 and 2018 in English and held by 4 WorldCat member libraries worldwide
Komplexe Analysis : August 25th  August 31th, 2002(
Book
)
1 edition published in 2002 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 4 WorldCat member libraries worldwide
Théorèmes d'annulation et théorèmes de structure sur les variétés kähleriennes compactes by
Junyan Cao(
)
1 edition published in 2013 in English and held by 3 WorldCat member libraries worldwide
The aim of this thesis is to generalize a certain number of results of algebraic geometry to K"{a}hler geometry. We first generalize the Nadel vanishing theorem to arbitrary compact K"{a}hler manifolds. We prove also a particular version of the KawamataViehweg vanishing theorem for manifolds admitting a fibration to a torus such that the generic fiber is projective. Using this result, we study the theory of deformations of compact Kähler manifolds under certain assumptions on their canonical bundles. Finally, we study varieties with nef anticanonical bundles. We prove that the slopes of the HarderNarasimhan filtration of the tangent bundles with respect to a polarization of the form $omega_X^{n1}$ are semipositive. As an application, we give a simple proof of the surjectivity of the Albanese map, and we investigate also the local triviality of the Albanese map
1 edition published in 2013 in English and held by 3 WorldCat member libraries worldwide
The aim of this thesis is to generalize a certain number of results of algebraic geometry to K"{a}hler geometry. We first generalize the Nadel vanishing theorem to arbitrary compact K"{a}hler manifolds. We prove also a particular version of the KawamataViehweg vanishing theorem for manifolds admitting a fibration to a torus such that the generic fiber is projective. Using this result, we study the theory of deformations of compact Kähler manifolds under certain assumptions on their canonical bundles. Finally, we study varieties with nef anticanonical bundles. We prove that the slopes of the HarderNarasimhan filtration of the tangent bundles with respect to a polarization of the form $omega_X^{n1}$ are semipositive. As an application, we give a simple proof of the surjectivity of the Albanese map, and we investigate also the local triviality of the Albanese map
Introduction à la théorie de Hodge by
José Bertin(
Book
)
1 edition published in 2018 in French and held by 3 WorldCat member libraries worldwide
This monograph develops a number of fundamental concepts and results of Hodge Theory. It is mainly aimed to students and researchers,nonexperts in the field, who wish to get acquainted in depth with the subject and obtain precise uptodate information on the current status of the theory. The manuscript is divided in three parts, each of them devoted to various and complementary aspects of the theory: analytic aspects (L² methods), algebraic aspects (use of characteristic pmethods), applications to algebraic geometry through a study of variations of Hodge structures and mirror symmetry conjectures for CalabiYau manifolds. [4e de couv.]
1 edition published in 2018 in French and held by 3 WorldCat member libraries worldwide
This monograph develops a number of fundamental concepts and results of Hodge Theory. It is mainly aimed to students and researchers,nonexperts in the field, who wish to get acquainted in depth with the subject and obtain precise uptodate information on the current status of the theory. The manuscript is divided in three parts, each of them devoted to various and complementary aspects of the theory: analytic aspects (L² methods), algebraic aspects (use of characteristic pmethods), applications to algebraic geometry through a study of variations of Hodge structures and mirror symmetry conjectures for CalabiYau manifolds. [4e de couv.]
Déformations des applications harmoniques tordues by
Marco Spinaci(
)
1 edition published in 2013 in French and held by 3 WorldCat member libraries worldwide
On étudie les déformations des applications harmoniques $f$ tordues par rapport à une représentation. Après avoir construit une application harmonique tordue "universelle", on donne une construction de toute déformations du premier ordre de $f$ en termes de la théorie de Hodge ; on applique ce résultat à l'espace de modules des représentations réductives d'un groupe de Kähler, pour démontrer que les points critiques de la fonctionnelle de l'énergie $E$ coïncident avec les représentations de monodromie des variations complexes de structures de Hodge. Ensuite, on procède aux déformations du second ordre, où des obstructions surviennent ; on enquête sur l'existence de ces déformations et on donne une méthode pour le construire. En appliquant ce résultat à la fonctionnelle de l'énergie comme cidessus, on démontre (pour n'importe quel groupe de présentation finie) que la fonctionnelle de l'énergie est strictement pluri sousharmonique sur l'espace des modules des représentations. En assumant de plus que le groupe soit de Kähler, on étudie les valeurs propres de la matrice hessienne de $E$ dans les points critiques
1 edition published in 2013 in French and held by 3 WorldCat member libraries worldwide
On étudie les déformations des applications harmoniques $f$ tordues par rapport à une représentation. Après avoir construit une application harmonique tordue "universelle", on donne une construction de toute déformations du premier ordre de $f$ en termes de la théorie de Hodge ; on applique ce résultat à l'espace de modules des représentations réductives d'un groupe de Kähler, pour démontrer que les points critiques de la fonctionnelle de l'énergie $E$ coïncident avec les représentations de monodromie des variations complexes de structures de Hodge. Ensuite, on procède aux déformations du second ordre, où des obstructions surviennent ; on enquête sur l'existence de ces déformations et on donne une méthode pour le construire. En appliquant ce résultat à la fonctionnelle de l'énergie comme cidessus, on démontre (pour n'importe quel groupe de présentation finie) que la fonctionnelle de l'énergie est strictement pluri sousharmonique sur l'espace des modules des représentations. En assumant de plus que le groupe soit de Kähler, on étudie les valeurs propres de la matrice hessienne de $E$ dans les points critiques
Corps d'Okounkov généralisés, problèmes d'hyperbolicité et d'image directes by
Ya Deng(
)
1 edition published in 2017 in English and held by 3 WorldCat member libraries worldwide
In Part 1 of this thesis, we construct "Okounkov bodies" for an arbitrary pseudoeffective (1,1class on a Kähler manifold. We prove the differentiability formula of volumes of big classes for Kähler manifolds on which modified nef cones and nef cones coincide. As a consequence we prove Demailly's transcendental Morse inequality for these particular Kähler manifolds; this includes Kähler surfaces. Then we construct the generalized Okounkov body for any big (1,1)class, and give a complete characterization of generalized Okounkov bodies on surfaces. We show that this relates the standard Euclidean volume of the body to the volume of the corresponding big class as defined by Boucksom; this solves a problem raised by Lazarsfeld and Mustaţă in the case of surfaces. We also study the behavior of the generalized Okounkov bodies on theboundary of the big cone.Part 2 deals with Kobayashi hyperbolicityrelated problems. Chapter 2's goal is to study the degeneracy of leaves of the onedimensional foliations on higher dimensional manifolds. The first part of Chapter 2 generalizes McQuillan's Diophantine approximations for onedimensional foliations with absolutely isolated singularities, on higher dimensional manifolds. As an application, we give a new proof of Brunella's hyperbolicity theorem, that is, all the leaves of a generic foliation of degree larger than 2 in CP 6n is hyperbolic. In the second part of Chapter 2 we introduce the socalled weakly reduced singularities for onedimensional foliations on higher dimensional manifolds. The "weakly reduced singularities" assumption is less demanding than the one required for "reduced singularities", but play the same role in studying the GreenGriffithsLang conjecture. Finally we discuss a strategy to prove the GreenGriffithsLang conjecture for complex surfaces.In Chapter 3, assuming that the canonical sheaf is big in the sense of Demailly, we prove theKobayashi volumehyperbolicity for any (possibly singular) directed variety.In Chapter 4, our first goal is to deal with effective questions related to the Kobayashi and Debarre conjectures, relying on the work of Brotbek and his joint work with Darondeau. We then combine these techniques to study the conjecture on the ampleness of the DemaillySemple bundles raised by Diverio and Trapani, and also obtain some effective estimates related to this problem. Our result integrates both the Kobayashi and Debarre conjectures, with some effective estimates.The purpose of Chapter 5 is twofold: on the one hand we study a Fujitatype conjecture by Popa and Schnell, and give an effective (linear) bound on the generic global generation of the direct image of the twisted pluricanonical bundle. We also point out the relation between the Seshadri constant and the optimal bound. On the other hand, we give an affirmative answer to a question by DemaillyPeternellSchneider in a more general setting. As applications, we generalize the theorems by Fujino and Gongyo on images of weak Fano manifolds to the Kawamata log terminal cases, and refine a result by Broustet and Pacienza on the rational connectedness of the image.In Chapter 6, we give a concrete and constructive proof of the equivalence between the category of semistable Higgs bundles with vanishing Chern classes and the category of all representations of the fundamental groups on smooth Kähler manifolds. This chapter is written for the complex geometers who are not familiar with the language of differential graded category used by Simpson to prove the above equivalence on smooth projective manifolds, and for those who would like to see an elementary proof of CorletteSimpson correspondence for semistable Higgs bundles
1 edition published in 2017 in English and held by 3 WorldCat member libraries worldwide
In Part 1 of this thesis, we construct "Okounkov bodies" for an arbitrary pseudoeffective (1,1class on a Kähler manifold. We prove the differentiability formula of volumes of big classes for Kähler manifolds on which modified nef cones and nef cones coincide. As a consequence we prove Demailly's transcendental Morse inequality for these particular Kähler manifolds; this includes Kähler surfaces. Then we construct the generalized Okounkov body for any big (1,1)class, and give a complete characterization of generalized Okounkov bodies on surfaces. We show that this relates the standard Euclidean volume of the body to the volume of the corresponding big class as defined by Boucksom; this solves a problem raised by Lazarsfeld and Mustaţă in the case of surfaces. We also study the behavior of the generalized Okounkov bodies on theboundary of the big cone.Part 2 deals with Kobayashi hyperbolicityrelated problems. Chapter 2's goal is to study the degeneracy of leaves of the onedimensional foliations on higher dimensional manifolds. The first part of Chapter 2 generalizes McQuillan's Diophantine approximations for onedimensional foliations with absolutely isolated singularities, on higher dimensional manifolds. As an application, we give a new proof of Brunella's hyperbolicity theorem, that is, all the leaves of a generic foliation of degree larger than 2 in CP 6n is hyperbolic. In the second part of Chapter 2 we introduce the socalled weakly reduced singularities for onedimensional foliations on higher dimensional manifolds. The "weakly reduced singularities" assumption is less demanding than the one required for "reduced singularities", but play the same role in studying the GreenGriffithsLang conjecture. Finally we discuss a strategy to prove the GreenGriffithsLang conjecture for complex surfaces.In Chapter 3, assuming that the canonical sheaf is big in the sense of Demailly, we prove theKobayashi volumehyperbolicity for any (possibly singular) directed variety.In Chapter 4, our first goal is to deal with effective questions related to the Kobayashi and Debarre conjectures, relying on the work of Brotbek and his joint work with Darondeau. We then combine these techniques to study the conjecture on the ampleness of the DemaillySemple bundles raised by Diverio and Trapani, and also obtain some effective estimates related to this problem. Our result integrates both the Kobayashi and Debarre conjectures, with some effective estimates.The purpose of Chapter 5 is twofold: on the one hand we study a Fujitatype conjecture by Popa and Schnell, and give an effective (linear) bound on the generic global generation of the direct image of the twisted pluricanonical bundle. We also point out the relation between the Seshadri constant and the optimal bound. On the other hand, we give an affirmative answer to a question by DemaillyPeternellSchneider in a more general setting. As applications, we generalize the theorems by Fujino and Gongyo on images of weak Fano manifolds to the Kawamata log terminal cases, and refine a result by Broustet and Pacienza on the rational connectedness of the image.In Chapter 6, we give a concrete and constructive proof of the equivalence between the category of semistable Higgs bundles with vanishing Chern classes and the category of all representations of the fundamental groups on smooth Kähler manifolds. This chapter is written for the complex geometers who are not familiar with the language of differential graded category used by Simpson to prove the above equivalence on smooth projective manifolds, and for those who would like to see an elementary proof of CorletteSimpson correspondence for semistable Higgs bundles
Croissance des fonctions holomorphes sur un fibré à base de Stein et à fibre C**(11), et sur une surface de Riemann by
JeanPierre Demailly(
Book
)
1 edition published in 1978 in French and held by 3 WorldCat member libraries worldwide
EXEMPLES DE FIBRES HOLOMORPHES NON DE STEIN. UN EXEMPLE DE FIBRE HOLOMORPHE NON DE STEIN A FIBRE C**(2) AYANT POUR BASE LE DISQUE ET LE PLAN. FONCTIONS HOLOMORPHES A CROISSANCE POLYNOMIALE SUR LA SURFACE D'EQUATION EXP X+EXP Y=1
1 edition published in 1978 in French and held by 3 WorldCat member libraries worldwide
EXEMPLES DE FIBRES HOLOMORPHES NON DE STEIN. UN EXEMPLE DE FIBRE HOLOMORPHE NON DE STEIN A FIBRE C**(2) AYANT POUR BASE LE DISQUE ET LE PLAN. FONCTIONS HOLOMORPHES A CROISSANCE POLYNOMIALE SUR LA SURFACE D'EQUATION EXP X+EXP Y=1
Métriques naturelles associées aux familles de variétés Kahlériennes compactes by
Gunnar Thor Magnusson(
)
1 edition published in 2012 in French and held by 3 WorldCat member libraries worldwide
In this thesis we consider families $pi : cc X to S$ of compact K"ahler manifolds with zero first Chern class over a smooth base $S$. We construct a relative complexified K"ahler cone $p : cc K to S$ over the base of deformations. Then we prove the existence of natural hermitian metrics on the total spaces $cc K$ and $cc X times_S cc K$ that generalize the classical WeilPetersson metrics associated to polarized families of such manifolds. As a byproduct we obtain a Riemannian metric on the K"ahler cone of any compact K"ahler manifold. We obtain an expression of its curvature tensor via an embedding of the K"ahler cone into the space of hermitian metrics on the manifold. We also prove that if the manifolds in our family have trivial canonical bundle, then our generalized WeilPetersson metric is the curvature form of a positive holomorphic line bundle. We then give some examples and applications
1 edition published in 2012 in French and held by 3 WorldCat member libraries worldwide
In this thesis we consider families $pi : cc X to S$ of compact K"ahler manifolds with zero first Chern class over a smooth base $S$. We construct a relative complexified K"ahler cone $p : cc K to S$ over the base of deformations. Then we prove the existence of natural hermitian metrics on the total spaces $cc K$ and $cc X times_S cc K$ that generalize the classical WeilPetersson metrics associated to polarized families of such manifolds. As a byproduct we obtain a Riemannian metric on the K"ahler cone of any compact K"ahler manifold. We obtain an expression of its curvature tensor via an embedding of the K"ahler cone into the space of hermitian metrics on the manifold. We also prove that if the manifolds in our family have trivial canonical bundle, then our generalized WeilPetersson metric is the curvature form of a positive holomorphic line bundle. We then give some examples and applications
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Algebraic varieties Cell aggregationMathematics Complex manifolds Differential equations Differential equations, Partial Differential equationsNumerical solutions Functions of complex variables Geometry Geometry, Algebraic Geometry, Analytic Geometry, Differential Global differential geometry Hodge theory Kählerian structures Manifolds (Mathematics) Mathematics MongeAmpère equations Pluripotential theory Plurisubharmonic functions Potential theory (Mathematics) Steenrod algebra Subharmonic functions Vanishing theorems
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Alternative Names
Demailly, J. P.
Demailly, J.P. 1957
Demailly, J. P. (JeanPierre)
Demailly, JeanPierre Raymond Philippe
JeanPierre Demailly Frans wiskundige
JeanPierre Demailly fransk matematikar
JeanPierre Demailly fransk matematiker
JeanPierre Demailly französischer Mathematiker
JeanPierre Demailly French mathematician
JeanPierre Demailly matemàtic francès
JeanPierre Demailly matemático francés
JeanPierre Demailly mathématicien français
ЖанПьер Демайи французский математик
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