Cyclic homology, cdh-cohomology and negative K-theory
K-Theory and Homology
2011-08-03 v1 Algebraic Geometry
Abstract
We prove a blow-up formula for cyclic homology which we use to show that infinitesimal -theory satisfies -descent. Combining that result with some computations of the -cohomology of the sheaf of regular functions, we verify a conjecture of Weibel predicting the vanishing of algebraic -theory of a scheme in degrees less than minus the dimension of the scheme, for schemes essentially of finite type over a field of characteristic zero.
Keywords
Cite
@article{arxiv.math/0502255,
title = {Cyclic homology, cdh-cohomology and negative K-theory},
author = {G. Cortiñas and C. Haesemeyer and M. Schlichting and C. A. Weibel},
journal= {arXiv preprint arXiv:math/0502255},
year = {2011}
}
Comments
20 pages, amslatex, uses xypic