Oeuvres - Collected Papers III: 1972 - 1984 / Edition 1

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From the reviews of Vols. I-III:

"Since their publication in 1986 J-P. Serre's Collected Papers have already become one of the classical references in mathematical research. This is on the one hand due to the completeness of the collection (132 items) and on the other, of course, due to the beautiful and clear expositions of Serre's papers and their influence on mathematics.

As listed in the preface, the three volumes cover almost all articles published in mathematical journals between 1949 and 1984, the summaries of the author's courses at the Collège de France since 1956, some of his Séminaire notes, and some items not previously published. [...]

The author's notes at the end of each volume giving corrections and important recent progress as well as improvements of the main results represent a highlight of this collection. The mathematical community definitely looks forward to further volume(s) of Serre's outstanding work."

Zentralblatt MATH

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Product Details

  • ISBN-13: 9783540435648
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 3/10/2003
  • Edition description: 1ere ed. 1986. 2eme tirage corrige 2002
  • Edition number: 1
  • Pages: 738
  • Product dimensions: 7.00 (w) x 10.00 (h) x 1.45 (d)

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.
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