Motivic Decomposition and Intersection Chow Groups I

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

For a quasiprojective variety S, we define a category CHM(S) of pure Chow motives over S. Assuming conjectures of Grothendieck and Murre, we show that the decomposition theorem holds in CHM(S). As a consequence, the intersection complex of S makes sense as an object IS of CHM(S). In the forthcoming part II we will give an unconditional definition of intersection Chow groups and study some of their properties.
57 pages, AMS-TeX, needs xypic package

Keywords

Algebraic Geometry, 14C15 (Primary); 14C25, 14F32 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/76867

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9804123
 http://arxiv.org/abs/math/9804123

Collections

arXiv