Dependent Artin-Schreier Defect Extensions and Strong Monomialization
Commutative Algebra
2015-08-28 v1 Algebraic Geometry
Abstract
In this paper we affirmatively answer a question posed by F.-V. Kuhlmann. We show that the first Artin-Schreier defect extension in Cutkosky and Piltant's counter-example to strong monomialization is a dependent extension. Our main tool is the use of generating sequences of valuations.
Cite
@article{arxiv.1508.06983,
title = {Dependent Artin-Schreier Defect Extensions and Strong Monomialization},
author = {Samar ElHitti and Laura Ghezzi},
journal= {arXiv preprint arXiv:1508.06983},
year = {2015}
}