Strong Toroidalization of Dominant Morphisms of 3-folds

Details Strong Toroidalization of Dominant Morphisms of 3-folds Strong Toroidalization of Dominant Morphisms of 3-folds

2006-01-03

arxiv.org/abs/math/0601037v1

Mathematics

Algebraic Geometry

121 pages

Scientific paper

Suppose that $f:X\to Y$ is a dominant morphism of 3-folds over an algebraically closed field of characteristic zero. We prove that there exist sequences of blow ups of points and nonsingular curves $\Phi:X_1\to X$ and $\Psi:Y_1\to Y$ such that the induced map $f_1:Y_1\to X_1$ is a toroidal morphism. This extends an earlier proof of the author of this theorem with the extra assumption that $f$ is birational.

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