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arXiv 2010-10-29 0 views

Weak toroidalization over non-closed fields

Abramovich, Dan · Denef, Jan · Karu, Kalle

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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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