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Weak toroidalization over non-closed fields |
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| Authors: | Dan Abramovich Jan Denef Kalle Karu |
| Institution: | 1. Department of Mathematics, Brown University, P.O. Box 1917, Providence, RI, 02912, USA 2. Department of Mathematics, University of Leuven, Celestijnenlaan 200 B, 3001, Leuven, Heverlee, Belgium 3. Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, BC, V6T 1Z2, Canada |
| 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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