Local Uniformization of Abhyankar Valuations
Algebraic Geometry
2021-07-20 v3 Commutative Algebra
Abstract
We prove local uniformization of Abhyankar valuations of an algebraic function field K over a ground field k. Our result generalizes the proof of this result, with the additional assumption that the residue field of the valuation ring is separable over k, by Hagen Knaf and Franz-Viktor Kuhlmann. The proof in this paper uses different methods, being inspired by the approach of Zariski and Abhyankar.
Keywords
Cite
@article{arxiv.2003.06374,
title = {Local Uniformization of Abhyankar Valuations},
author = {Steven Dale Cutkosky},
journal= {arXiv preprint arXiv:2003.06374},
year = {2021}
}
Comments
28 pages. Final Final version