Toroidalization of generating sequences in dimension two function fields of positive characteristic
Commutative Algebra
2007-10-04 v1 Algebraic Geometry
Abstract
We give a characteristic free proof of the main result of our previous paper (math.AC/0509697) concerning toroidalization of generating sequences of valuations in dimension two function fields. We show that when an extension of two dimensional algebraic regular local rings satisfies the conclusions of the Strong Monomialization theorem of Cutkosky and Piltant, the map between generating sequences in and has a toroidal structure.
Keywords
Cite
@article{arxiv.0710.0697,
title = {Toroidalization of generating sequences in dimension two function fields of positive characteristic},
author = {Laura Ghezzi and Olga Kashcheyeva},
journal= {arXiv preprint arXiv:0710.0697},
year = {2007}
}