Toroidalization of dominant morphisms of 3-folds

Bibliographic Information

Toroidalization of dominant morphisms of 3-folds

Steven Dale Cutkosky

(Memoirs of the American Mathematical Society, no. 890)

American Mathematical Society, 2007

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Note

"Volume 190, number 890 (end of volume)."

Bibliography: p. 221-222

Description and Table of Contents

Description

This book contains a proof that a dominant morphism from a 3-fold $X$ to a variety $Y$ can be made toroidal by blowing up in the target and domain. We give applications to factorization of birational morphisms of 3-folds.

Table of Contents

Introduction An outline of the proof Notation Toroidal morphisms and prepared morphisms Toroidal ideals Toroidalization of morphisms from 3-folds to surfaces Preparation above 2 and 3-points Preparation The $\tau$ invariant Super parameters Good and perfect points Relations Well prepared morphisms Construction of $\tau$-well prepared diagrams Construction of a $\tau$-very well prepared morphism Toroidalization Proofs of the main results List of technical terms Bibliography.

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