Pro cdh-descent for cyclic homology and $K$-theory
K-Theory and Homology
2019-02-20 v3 Algebraic Geometry
Abstract
In this paper we prove that cyclic homology, topological cyclic homology, and algebraic -theory satisfy a pro Mayer--Vietoris property with respect to abstract blow-up squares of varieties, in both zero and finite characteristic. This may be interpreted as the well-definedness of -theory with compact support.
Keywords
Cite
@article{arxiv.1211.1813,
title = {Pro cdh-descent for cyclic homology and $K$-theory},
author = {Matthew Morrow},
journal= {arXiv preprint arXiv:1211.1813},
year = {2019}
}
Comments
This is a substantial replacement of the earlier version, whose contents have been expanded and divided into three disjoint papers: arXiv:1404.4179, the current paper, and arXiv:1404.4649. In particular, the proof of pro cdh-descent of $K$-theory has been extended to finite characteristic