Analogues of Gersten's conjecture for singular schemes
Algebraic Geometry
2016-07-22 v2 K-Theory and Homology
Abstract
We formulate analogues, for Noetherian local -algebras which are not necessarily regular, of the injectivity part of Gersten's conjecture in algebraic -theory, and prove them in various cases. Our results suggest that the algebraic -theory of such a ring should be detected by combining the algebraic -theory of both its regular locus and the infinitesimal thickenings of its singular locus.
Keywords
Cite
@article{arxiv.1508.05621,
title = {Analogues of Gersten's conjecture for singular schemes},
author = {Amalendu Krishna and Matthew Morrow},
journal= {arXiv preprint arXiv:1508.05621},
year = {2016}
}
Comments
To appear in Selecta Mathematica