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arXiv · 1010.6171

Weak toroidalization over non-closed fields

Dan Abramovich·Jan Denef·Kalle Karu
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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.

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Dan Abramovich, Jan Denef, Kalle Karu. 2010-10-29. Weak toroidalization over non-closed fields. https://arxiv.org/abs/1010.6171

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