Toroidalization of dominant morphisms of 3-folds
著者
書誌事項
Toroidalization of dominant morphisms of 3-folds
(Memoirs of the American Mathematical Society, no. 890)
American Mathematical Society, 2007
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注記
"Volume 190, number 890 (end of volume)."
Bibliography: p. 221-222
内容説明・目次
内容説明
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.
目次
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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