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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lam, T.Y (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edición:1st ed. 2006.
Colección:Springer Monographs in Mathematics,
Temas:
Commutative algebra.
Commutative rings.
Associative rings.
Associative algebras.
Commutative Rings and Algebras.
Associative Rings and Algebras.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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