Oeuvres : collected papers
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Bibliographic Information
Oeuvres : collected papers
（Springer Collected Works in Mathematics）
Springer, c2013
- 1 : softcover
- 2 : softcover
- 3 : softcover
- 4 : softcover
- Other Title
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Œuvres : collected papers
Available at / 3 libraries
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Osaka University, Main Library
v. 1. : softcover12200295470,
v. 2. : softcover12200294812, 3 : softcover12200299357, 4 : softcover12200295488 -
Hitotsubashi University Library図
1 : softcover4100:1780:1121022603H,
4 : softcover4100:1780:4121026611K -
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Note
Contents : 1. 1949-1959 -- 2. 1960-1971 -- 3. 1972-1984 -- 4. 1985-1998
"Reprint of the 2003 edition"--T.p. of 1-3
"Reprint of the 2000 edition"--T.p. of 4
Includes bibliographical references
Description and Table of Contents
- Volume
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2 : softcover ISBN 9783642377259
Description
The impact and influence of Jean-Pierre Serre's work have been notable ever since his doctoral thesis on homotopy groups. The abundance of significant results and deep insight contained in his research and survey papers ranging through topology, several complex variables, and algebraic geometry to number theory, group theory, commutative algebra and modular forms, continues to provide inspiring reading for mathematicians working in these areas, in their research and their teaching.
Characteristic of Serre's publications are the many open questions he formulated suggesting further research directions. Four volumes specify how he has provided comments on and corrections to most articles, and described the present status of the open questions with reference to later results.
Jean-Pierre Serre is one of a few mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize.
Table of Contents
Papers from 1960-1971 no. 45-93
- Volume
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3 : softcover ISBN 9783642398377
Description
The impact and influence of Jean-Pierre Serre's work have been notable ever since his doctoral thesis on homotopy groups. The abundance of significant results and deep insight contained in his research and survey papers ranging through topology, several complex variables, and algebraic geometry to number theory, group theory, commutative algebra and modular forms, continues to provide inspiring reading for mathematicians working in these areas, in their research and their teaching.
Characteristic of Serre's publications are the many open questions he formulated suggesting further research directions. Four volumes specify how he has provided comments on and corrections to most articles, and described the present status of the open questions with reference to later results.
Jean-Pierre Serre is one of a few mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize.
Table of Contents
Extensions de corps ordonnes.- (avec A Borel) Impossibilite de fibrer un espace euclidien par des fibres compactes.- Cohomologie des extensions de groupes.- Homologie singuliere des espaces fibres. I. La suite spectrale.- Homologie singuliere des espaces fibres. II. Les espaces de lacets.- Homologie singuliere des espaces fibres. III. Applications
homotopiques.- Groupes d'homotopie.- (avec A Borel) Determination des p-puissances reduites de Steenrod dans la cohomologie des groupes classiques. Applications.- Homologie singuliere des espaces fibres. Applications.- (avec H. Cartan) Espaces fibres et groupes d'homotopie.1.
Constructions generales.- (avec H. Cartan) Espaces fibres et groupes d'homotopie. II.Applications.- Sur les groupes d'Eilenberg-MacLane.- Sur la suspension de Freudenthal.- Le cinquieme probleme de Hilbert. Etat de la question en 1951.- (avec G. P. Hochschild) Cohomology of group extensions.- (avec G.P. Hochschild) Cohomology of Lie algebras.- Cohomologie et arithmetique.- Groupes d 'homotopie et classes de groupes abeliens.- Cohomologie modulo 2 des complexes d'Eilenberg-MacLane.- Lettre a Armand Borel.- Espaces fibres algebriques (d'apres A WeiI).- Quelques calculs de groupes d'homotopie.- Quelques problemes globaux relatifs aux varietes de Stein.- (avec H. Cartan) Un theoreme de finitude concernant les varietes analytiques compactes.- Travaux de Hirzebruch sur la topologie des varietes.- Fonctions automorphes: quelques majorations dans Ie cas OU X/G est compact.- Cohomologie et geometrie algebrique.- Un theoreme de dualite.- Faisceaux algebriques coherents.- Une propriete topologique des domaines de Runge.- Notice sur les travaux scientifiques.- Geometrie algebrique et geometrie analytique.- Sur la dimension homologique des anneaux et des modules
noetheriens.- Critere de rationalite pour les surfaces algebriques.- Sur la cohomologie des varietes algebriques.- (avec S. Lang) Sur les revetements non ramifies des varietes algebriques.- Resume des cours de 1956-1957.- Sur la topologie des varietes algebriques en caracteristique p.- Modules projectifs et espaces fibres a fibre vectorielle.- Quelques proprietes des varietes abeliennes en caracteristique.- Classes des corps cyclotomiques (d'apres K Iwasawa).- Resume des cours de 1957-1958.- On the fundamental group of a unirational variety.- Resume des cours de 1958-1959.- Notes.- Acknowledgements.
- Volume
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4 : softcover ISBN 9783642398391
Description
The impact and influence of J.-P. Serres work have been notable ever since his doctoral thesis on homotopy groups. The abundance of findings and deep insights found in his research and survey papers ranging from topology, several complex variables, and algebraic geometry to number theory, group theory, commutative algebra and modular forms, continues to provide inspiring reading for mathematicians working in these areas, in their research and their teaching.
Characteristic of Serres publications are the many open questions he formulates pointing to further directions for research. In four volumes of Collected Papers he has provided comments on and corrections to most articles, and described the current status of the open questions with reference to later findings.
In this softcover edition of volume IV, two recently published articles have been added, one on the life and works of Andre Weil, the other one on Finite Subgroups of Lie Groups.
From the reviews:
"This is the fourth volume of J-P. Serre's Collected Papers covering the period 1985-1998. Items, numbered 133-173, contain "the essence'' of his work from that period and are devoted to number theory, algebraic geometry, and group theory. Half of them are articles and another half are summaries of his courses in those years and letters. Most courses have never been previously published, nor proofs of the announced results. The letters reproduced, however (in particular to K. Ribet and M.-F. Vigneras), provide indications of some of those proofs. Also included is an interview with J-P. Serre from 1986, revealing his views on mathematics (with the stress upon its integrity) and his own mathematical activity. The volume ends with Notes which complete the text by reporting recent progress and occasionally correct it.
Zentralblatt MATH
Table of Contents
Preface.- Papers published between 1985 and 1998.- Notes.-Modifications volumes I-III.- Errata volumes I-III.- Acknowledgements.
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