Descent, Motives and K-theory
alg-geom
2008-02-03 v1 Algebraic Geometry
Abstract
To an arbitrary variety over a field of characteristic zero, we associate a complex of Chow motives, which is, up to homotopy, unique and bounded. We deduce that any variety has a natural Euler characteristic in the Grothendieck group of Chow motives. We show that the cohomology with integer coefficients of any singular variety over the complex numbers has a natural weight filtration. We define algebraic K-theory with "compact supports".
Cite
@article{arxiv.alg-geom/9507013,
title = {Descent, Motives and K-theory},
author = {Henri Gillet and Christophe Soule},
journal= {arXiv preprint arXiv:alg-geom/9507013},
year = {2008}
}
Comments
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