Mathematics – Algebraic Geometry
Scientific paper
2010-10-29
Mathematics
Algebraic Geometry
15 pages
Scientific paper
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.
Abramovich Dan
Denef Jan
Karu Kalle
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