Weak toroidalization over non-closed fields

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.

15 pages. Several minor changes. To appear in Manuscripta Mathematica

Cited by in corpus (1)

• A tour of stable reduction with applications