WorldCat Identities

Colliot-Thélène, J.-L (Jean-Louis)

Overview
Works: 57 works in 170 publications in 4 languages and 2,225 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Thesis advisor, Editor, Opponent, Scientific advisor, 956, Other
Publication Timeline
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Most widely held works by J.-L Colliot-Thélène
Arithmetic geometry : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, September 10-15, 2007 by J.-L Colliot-Thélène( )

25 editions published between 2010 and 2011 in English and French and held by 570 WorldCat member libraries worldwide

Arithmetic Geometry can be defined as the part of Algebraic Geometry connected with the study of algebraic varieties over arbitrary rings, in particular over non-algebraically closed fields. It lies at the intersection between classical algebraic geometry and number theory. A C.I.M.E. Summer School devoted to arithmetic geometry was held in Cetraro, Italy in September 2007, and presented some of the most interesting new developments in arithmetic geometry. This book collects the lecture notes which were written up by the speakers. The main topics concern diophantine equations, local-global principles, diophantine approximation and its relations to Nevanlinna theory, and rationally connected varieties. The book is divided into three parts, corresponding to the courses given by J-L Colliot-Thélène Peter Swinnerton Dyer and Paul Vojta
Géométrie algébrique réelle et formes quadratiques : journées S.M.F., Université de Rennes 1, Mai 1981 by J.-L Colliot-Thélène( Book )

25 editions published between 1982 and 2008 in 4 languages and held by 549 WorldCat member libraries worldwide

Arithmetic algebraic geometry by J.-L Colliot-Thélène( Book )

26 editions published in 1993 in 3 languages and held by 490 WorldCat member libraries worldwide

This volume contains three long lecture series by J.L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa theory for Hasse-Weil L-function, and the applications of arithemetic geometry to Diophantine approximation. They contain many new results at a very advanced level, but also surveys of the state of the art on the subject with complete, detailed profs and a lot of background. Hence they can be useful to readers with very different background and experience. CONTENTS: J.L. Colliot-Thelene: Cycles algebriques de torsion et K-theorie algebrique.- K. Kato: Lectures on the approach to Iwasawa theory for Hasse-Weil L-functions.- P. Vojta: Applications of arithmetic algebraic geometry to diophantine approximations
Quadratic forms, linear algebraic groups, and cohomology by J.-L Colliot-Thélène( )

14 editions published in 2010 in English and Spanish and held by 436 WorldCat member libraries worldwide

The invited papers collected in this volume address topics related to the research of Raman Parimala (plenary speaker at the upcoming ICM 2010). These themes focus primarily on the interplay between algebra, number theory, and algebraic geometry. The included contributions cover exciting research in areas such as field patching and a proof of the Serre`s Conjecture II for function fields of complex surfaces. TOC:- Foreword.- Surveys.- Multiples of forms (Eva Bayer-Fluckiger).- On Saltman`s p-adic curves papers (Eric Brussel).- Serre`s Conjecture II: a survey (Philippe Gille).- Field patching, factorization, and local-global principles (Daniel Krashen).- Deformation theory and rational points on rationally connected varieties (Max Lieblich).- Recent progress on the Kato Conjecture (Shuji Saito).- Elliptic curves and Iwasawa`s µ=0 conjecture (R. Sujatha).- Cohomological invariants of central simple algebras with involution (Jean-Pierre Tignol).- Witt groups of varieties and the purity problem (Kirill Zainoulline).- Invited articles.- Some extensions and applications of Eisenstein irreducibility criterion (Anuj Bishnoi and Sudesh K. Khanduja).- On the kernel of the Rost invariant for E8 modulo 3 (V. Chernousov).- Une version du théorème d`Amer et Brumer pour les zéro-cycles (Jean-Louis Colliot-Thélène and Marc Levine).- Quaternion algebras with the same subfields (Skip Garibaldi and David J. Saltman).- Lifting of coefficients for Chow motives of quadrics (Olivier Haution).- Upper motives of outer algebraic groups (Nikita Karpenko).- Triality and étale algebras (Max-Albert Knus and Jean-Pierre Tignol).- Vector bundles generated by sections and morphisms to Grassmannians (F. Laytimi and D.S. Nagaraj).- Adams operations and the Brown-Gersten-Quillen spectral sequence (Alexander Merkurjev).- Remarks on unimodular rows (N. Mohan Kumar and M. Pavaman Murthy).- Non-self-dual stably free modules (Madhav V. Nori, Ravi A. Rao, and Richard G. Swan).- Homotopy invariance of the sheaf WNis and of its cohomology (I. Panin).- Imbedding quasi-split groups in isotropic groups (M.S. Raghunathan)
Variétés rationnellement connexes aspects géométriques et arithmétiques( Book )

3 editions published in 2010 in French and held by 30 WorldCat member libraries worldwide

Contributions of the four speakers at a 2008 workshop on rationally connected varieties.--Pages [iii-iv]
Quadratic Forms, Linear Algebraic Groups, and Cohomology by J.-L Colliot-Thélène( )

2 editions published in 2010 in English and held by 11 WorldCat member libraries worldwide

Contributions à l'étude des points rationnels de certaines variétés algébriques : relations d'équivalence et problèmes birationnels by J.-L Colliot-Thélène( Book )

4 editions published in 1978 in French and held by 10 WorldCat member libraries worldwide

Higgs bundles and local systems by Carlos Simpson( Book )

1 edition published in 1992 in English and held by 6 WorldCat member libraries worldwide

Images des mathématiques 1995( Book )

1 edition published in 1995 in French and held by 6 WorldCat member libraries worldwide

Real components of algebraic varieties and étale cohomology by J.-L Colliot-Thélène( Book )

3 editions published in 1989 in English and French and held by 5 WorldCat member libraries worldwide

Algebraic K-Theory and Its Applications - Proceedings of the School by J.-L Colliot-Thélène( )

1 edition published in 1999 in English and held by 5 WorldCat member libraries worldwide

Groupe de Chow de codimension deux des variétés définies sur un corps de nombres : un théorème de finitude pour la torsion by J.-L Colliot-Thélène( Book )

2 editions published in 1990 in French and held by 4 WorldCat member libraries worldwide

On the reciprocity sequence in higher class field theory of function fields by J.-L Colliot-Thélène( Book )

2 editions published in 1992 in English and held by 4 WorldCat member libraries worldwide

Espaces principaux homogènes localement triviaux by J.-L Colliot-Thélène( Book )

2 editions published in 1990 in French and held by 4 WorldCat member libraries worldwide

Arithmétique des variétés fibrées en variétés de Severi-Brauer, au-dessus d'une courbe de genre quelconque by Emmanuelle Frossard( Book )

1 edition published in 1995 in French and held by 4 WorldCat member libraries worldwide

LE BUT DE CETTE THESE EST D'OBTENIR DES RESULTATS DE FINITUDE SUR LE GROUPE DE CHOW DE DIMENSION 0 DE CERTAINS TYPES DE VARIETES. SOIT K UN CORPS PARFAIT ET SOIT X UNE K-VARIETE LISSE, MUNIE D'UN MORPHISME P, PROPRE, DOMINANT, SUR UNE K-COURBE LISSE C ; LE MORPHISME P INDUIT PAR IMAGE DIRECTE UN HOMOMORPHISME DU GROUPE DE CHOW DE DIMENSION 0 DE X, DANS CELUI DE C. POUR ETUDIER LE NOYAU DE CET HOMOMORPHISME, NOTE CH(X/C), ON CONSTRUIT UNE APPLICATION CARACTERISTIQUE DE CE NOYAU DANS UN GROUPE DE COHOMOLOGIE DE K. SOUS DES HYPOTHESES GEOMETRIQUES ASSEZ GENERALES, ET DES HYPOTHESES DE FINITUDE SUR LE CORPS K, ON MONTRE QUE L'IMAGE DE L'APPLICATION CARACTERISTIQUE, EST FINIE. LE PROBLEME EST ALORS DE CONTROLER LE NOYAU DE CETTE APPLICATION. POUR DES FIBRATIONS DONT LA FIBRE GENERIQUE EST UNE VARIETE DE SEVERI-BRAUER ASSOCIEE A UNE ALGEBRE SIMPLE CENTRALE A, SUR LE CORPS DES FONCTIONS DE LA COURBE C, ON DONNE UNE EXPRESSION PUREMENT ALGEBRIQUE DU NOYAU DE L'APPLICATION CARACTERISTIQUE, EN UTILISANT DES MODELES CONSTRUITS, PAR M. ARTIN, A PARTIR D'ORDRES HEREDITAIRES DE L'ALGEBRE A. EN UTILISANT DES THEOREMES DE MERKURIEV ET SUSLIN ET DE KATO, ON OBTIENT ALORS LE RESULTAT DE FINITUDE SUIVANT, QUI GENERALISE PLUSIEURS RESULTATS ANTERIEURS. POUR UNE FIBRATION X AU-DESSUS DE C, DONT LA FIBRE GENERIQUE EST UNE VARIETE DE SEVERI-BRAUER D'INDICE SANS FACTEURS CARRES, LE GROUPE CH(X/C) EST FINI, SOIT QUAND LE CORPS K EST UN CORPS DE NOMBRES, SOIT QUAND LE CORPS K EST UN CORPS DE TYPE FINI SUR LE CORPS DES RATIONNELS, LA COURBE C EST LA DROITE PROJECTIVE ET LA VARIETE X POSSEDE UN ZERO-CYCLE DE DEGRE 1. EN PARTICULIER, DANS LES SITUATIONS CI-DESSUS, LE GROUPE DE CHOW DE DIMENSION 0 DE LA VARIETE X, EST UN GROUPE DE TYPE FINI
Cycles algébriques de torsion et K-théorie algébrique : cours donné au C.I.M.E., juin 1991 by J.-L Colliot-Thélène( Book )

2 editions published in 1992 in French and held by 4 WorldCat member libraries worldwide

L'OBSTRUCTION DE MANIN PASSAGE DES FIBRES A L'ESPACE TOTAL D'UNE FIBRATION, APPLICATIONS by David Harari( Book )

1 edition published in 1993 in French and held by 4 WorldCat member libraries worldwide

LE BUT DE LA THESE EST DE PRESENTER UN NOUVEL ASPECT DE LA METHODE DES FIBRATIONS QUI SERT A ETUDIER LA VALIDITE DU PRINCIPE DE HASSE ET DE L'APPROXIMATION FAIBLE POUR CERTAINES VARIETES DEFINIES SUR UN CORPS DE NOMBRES. LA THESE SE COMPOSE DE DEUX ARTICLES. DANS LE PREMIER (METHODE DES FIBRATIONS ET OBSTRUCTION DE MANIN), ON ETABLIT SOUS CERTAINES CONDITIONS QUE L'OBSTRUCTION DE MANIN AU PRINCIPE DE HASSE OU A L'APPROXIMATION FAIBLE EST LA SEULE POUR L'ESPACE TOTAL D'UNE FIBRATION QUAND LES FIBRES ONT CETTE MEME PROPRIETE. POUR CELA, ON S'INSPIRE NOTAMMENT D'UN ENONCE DEGAGE PAR SKOROBOGATOV. LES RESULTATS GENERAUX OBTENUS S'APPLIQUENT PAR EXEMPLE A CERTAINES HYPER-SURFACES CUBIQUES OU ENCORE AUX GROUPES ALGEBRIQUES LINEAIRES. DANS LE DEUXIEME ARTICLE (PRINCIPE DE HASSE ET APPROXIMATION FAIBLE SUR CERTAINES HYPER-SURFACES), ON MENE A BIEN DANS UN CAS PARTICULIER DES CALCULS EXPLICITES DE GROUPES DE BRAUER QUI PERMETTENT D'AVOIR UNE PRESENTATION PLUS CONCRETE DES RESULTATS. ON RETROUVE EGALEMENT CERTAINS ENONCES ARITHMETIQUES DANS CE CAS PARTICULIER EN UTILISANT NON PLUS LA METHODE DES FIBRATIONS MAIS LA METHODE DE LA DESCENTE DE COLLIOT-THELENE ET SANSUC
Arithmetic on some singular cubic hypersurfaces by J.-L Colliot-Thélène( Book )

2 editions published in 1988 in English and held by 4 WorldCat member libraries worldwide

Groupes des classes de zéro-cycles sur les surfaces rationnelles définies sur un corps local by Chandan Singh Dalawat( Book )

1 edition published in 1993 in French and held by 4 WorldCat member libraries worldwide

CETTE THESE CONSTRUIT ET ETUDIE UNE APPLICATION DE SPECIALISATION POUR LES ZERO-CYCLES SUR UNE SURFACE RELATIVE SUR UN TRAIT. NOUS DEMONTRONS LA SURJECTIVITE DE CET HOMOMORPHISME LORSQUE LE TRAIT DE BASE EST HENSELIEN. LORSQU'EN PLUS LA DIMENSION COHOMOLOGIQUE DU CORPS RESIDUEL EST INFERIEURE A UN, ET LA FIBRE GENERIQUE REMPLIT CERTAINES CONDITIONS GEOMETRIQUES, PAR EXEMPLE CELLE D'ETRE RATIONNELLE, ET LA CONDITION ARITHMETIQUE QUE L'INERTIE AGIT TRIVIALEMENT SUR SON GROUPE DE PICARD GEOMETRIQUE, NOUS ETABLISSONS LA BIJECTIVITE DE LA SPECIALISATION. CELA FOURNIT UN MOYEN PRATIQUE POUR CALCULER LE GROUPE DES CLASSES DE ZERO-CYCLES SUR UNE TELLE SURFACE
La Descente sur les variétés rationnelles, II by J.-L Colliot-Thélène( Book )

2 editions published in 1987 in French and held by 4 WorldCat member libraries worldwide

 
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Géométrie algébrique réelle et formes quadratiques : journées S.M.F., Université de Rennes 1, Mai 1981
Covers
Géométrie algébrique réelle et formes quadratiques : journées S.M.F., Université de Rennes 1, Mai 1981Arithmetic algebraic geometryQuadratic forms, linear algebraic groups, and cohomologyQuadratic Forms, Linear Algebraic Groups, and Cohomology
Alternative Names
Colliot-Thélène, J. 1947-

Colliot-Thélène, J.-L.

Colliot-Thélène, J.-L. 1947-

Colliot-Thélène, Jean 1947-

Colliot-Thélène, Jean-L. 1947-

Colliot-Thélène, Jean-Louis

Colliot-Thélène, Jean Louis 1947-

Jean-Louis Colliot-Thélène Frans wiskundige

Jean-Louis Colliot-Thélène fransk matematikar

Jean-Louis Colliot-Thélène fransk matematiker

Jean-Louis Colliot-Thélène französischer Mathematiker

Jean-Louis Colliot-Thélène French mathematician

Jean-Louis Colliot-Thélène matemático francés

Jean-Louis Colliot-Thélène mathématicien français

Thélène, J.-L.

Thélène, J.-L. Colliot-

Thélène, J.-L. Colliot- (Jean-Louis Colliot-)

Thélène, Jean-Louis, Colliot-.

Thélène, Jean-Louis Colliot- 1947-

Languages
English (79)

French (34)

Spanish (1)

German (1)