Ramification of valuations and local rings
Algebraic Geometry
2016-12-05 v1 Commutative Algebra
Abstract
In this paper we consider birational properties of ramification in excellent local rings. We extend earlier results of the author with Olivier Piltant to show that strong local monomialization is true along a valuation dominating a defectless extension of two dimensional excellent local rings. We also obtain general results on the structure of the extension of associated graded rings along a valuation, and show that the invariants alpha and beta of stable forms of two dimensional extensions in characteristic p of the author and Olivier Piltant are not eventually constant.
Keywords
Cite
@article{arxiv.1508.03362,
title = {Ramification of valuations and local rings},
author = {Steven Dale Cutkosky},
journal= {arXiv preprint arXiv:1508.03362},
year = {2016}
}
Comments
31 pages. Formerly part of arXiv:1404.7459