Descent, Motives and K-theory
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".
- Publication:
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arXiv e-prints
- Pub Date:
- July 1995
- DOI:
- 10.48550/arXiv.alg-geom/9507013
- arXiv:
- arXiv:alg-geom/9507013
- Bibcode:
- 1995alg.geom..7013G
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- AMS-Tex