Weak toroidalization over non-closed fields
Algebraic Geometry
2013-03-28 v3
Abstract
We prove that any dominant morphism of algebraic varieties over a field k of characteristic zero can be transformed into a toroidal (hence monomial) morphism by projective birational modifications of source and target. This was previously proved by the first and third author when k is algebraically closed. Moreover we show that certain additional requirements can be satisfied.
Cite
@article{arxiv.1010.6171,
title = {Weak toroidalization over non-closed fields},
author = {Dan Abramovich and Jan Denef and Kalle Karu},
journal= {arXiv preprint arXiv:1010.6171},
year = {2013}
}
Comments
15 pages. Several minor changes. To appear in Manuscripta Mathematica