Ramification of local rings along valuations
Commutative Algebra
2013-09-03 v1
Abstract
In this paper we discuss stable forms of extensions of algebraic local rings along a valuation in all dimensions over a field k of characteristic zero, and generalize a formula of Ghezzi, H\`a and Kashcheyeva describing the extension of associated graded rings along the valuation for stable extensions of regular algebraic local rings of dimension two to arbitrary ground fields k of characteristic zero. We discuss the failure of this result in positive characteristic.
Keywords
Cite
@article{arxiv.1309.0135,
title = {Ramification of local rings along valuations},
author = {Steven Dale Cutkosky and Pham An Vinh},
journal= {arXiv preprint arXiv:1309.0135},
year = {2013}
}
Comments
14 pages