Chow's moving lemma and the homotopy coniveau tower

Details Chow's moving lemma and the homotopy coniveau tower Chow's moving lemma and the homotopy coniveau tower

2005-10-10

arxiv.org/abs/math/0510201v1

Mathematics

Algebraic Geometry

This is a revised version of an earlier preprint, which is currently posted on the K-theory server

Scientific paper

We consider the "homotopy coniveau tower" for an arbitrary cohomology theory on smooth varieties over a field or a Dedekind domain. This tower is a generalization of the construction used by Bloch-Lichtenbaum and Friedlander-Suslin in their studies of the spectral sequence from motivic cohomology to K-theory. Our main result is that an application of the classical Chow's moving lemma and some categorical constructions make the homotopy coniveau tower strictly functorial when the base is a field, and functorial in the homotopy category when the base is a Dedekind domain.

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