On Grothendieck's Conjecture about Principal Homogeneous Spaces for some Classical Algebraic Groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In the present paper we investigate the question about the injectivity of the map F(R) --> F(K) induced by the canonical inclusion of a local regular ring of geometric type R to its field of fractions K for a homotopy invariant functor F with transfers satisfying some additional properties. As an application we get the original proof of Special Unitary Case of Grothendieck's conjecture about principal homogeneous spaces and some other interesting examples.
AMS-TeX v2.1, 28 pages

Keywords

Algebraic Geometry, Commutative Algebra, Group Theory, K-Theory and Homology, Rings and Algebras

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/78139

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9902132
 http://arxiv.org/abs/math/9902132
 St.Petersburg Math. J. 12(1), 2001

Collections

arXiv