Toroidalization of locally toroidal morphisms of 3-folds

Document Type : Research Paper


School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran.


A toroidalization of a dominant morphism $\varphi: X\to Y$ 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.


Main Subjects

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