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Serre's Problem on Projective Modules

“Serre’s Conjecture”, for the most part of the second half of the 20th century, - ferred to the famous statement made by J. -P. Serre in 1955, to the effect that one did not know if ?nitely generated projective modules were free over a polynomial ring k[x ,. . . ,x], where k is a ?eld. This statemen...

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Bibliographic Details
Main Author: Lam, T.Y.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2006, 2006
Edition:1st ed. 2006
Series:Springer Monographs in Mathematics
Subjects:
Associative Algebras
Commutative Algebra
Commutative Rings And Algebras
Commutative Rings
Associative Rings
Associative Rings And Algebras
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • to Serre’s Conjecture: 1955–1976
  • Foundations
  • The “Classical” Results on Serre’s Conjecture
  • The Basic Calculus of Unimodular Rows
  • Horrocks’ Theorem
  • Quillen’s Methods
  • K1-Analogue of Serre’s Conjecture
  • The Quadratic Analogue of Serre’s Conjecture
  • References for Chapters I–VII
  • Appendix: Complete Intersections and Serre’s Conjecture
  • New Developments (since 1977)
  • References for Chapter VIII.

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