Toric varieties, monoid schemes and $cdh$ descent
K-Theory and Homology
2012-07-13 v2 Algebraic Geometry
Abstract
We give conditions for the Mayer-Vietoris property to hold for the algebraic K-theory of blow-up squares of toric varieties in any characteristic, using the theory of monoid schemes. These conditions are used to relate algebraic K-theory to topological cyclic homology in characteristic p. To achieve our goals, we develop for monoid schemes many notions from classical algebraic geometry, such as separated and proper maps.
Keywords
Cite
@article{arxiv.1106.1389,
title = {Toric varieties, monoid schemes and $cdh$ descent},
author = {Guillermo Cortiñas and Christian Haesemeyer and Mark E. Walker and Charles A. Weibel},
journal= {arXiv preprint arXiv:1106.1389},
year = {2012}
}
Comments
v2 changes: field of positive characteristic replaced by regular ring containing such a field at appropriate places. Minor changes in exposition