toroidalization of locally toroidal morphisms of 3-folds
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abstract
a toroidalization of a dominant morphism $varphi: xto y$ of algebraic varieties over a field of characteristic zero is a toroidal lifting of $varphi$ obtained by performing sequences of blow ups of nonsingular subvarieties above $x$ and $y$. we give a proof of toroidalization of locally toroidal morphisms of 3-folds.
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Journal title:
bulletin of the iranian mathematical societyجلد ۴۲، شماره ۲، صفحات ۳۷۱-۴۰۵
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