Toroidalization of dominant morphisms of 3-folds / Steven Dale Cutkosky.

Format:

Book

Author/Creator:

Cutkosky, Steven Dale, author.

Series:

Memoirs of the American Mathematical Society ; Volume 190, Number 890.

Memoirs of the American Mathematical Society, 0065-9266 ; Volume 190, Number 890

Language:

English

Subjects (All):

Geometry, Algebraic.

Morphisms (Mathematics).

Algebraic varieties.

Commutative algebra.

Physical Description:

1 online resource (234 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2007.

Language Note:

English

Summary:

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.

Contents:

""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. An outline of the proof""; ""Chapter 3. Notation""; ""Chapter 4. Toroidal morphisms and prepared morphisms""; ""Chapter 5. Toroidal ideals""; ""Chapter 6. Toroidalization of morphisms from 3-folds to surfaces""; ""Chapter 7. Preparation above 2 and 3-points""; ""Chapter 8. Preparation""; ""Chapter 9. The Ï? invariant""; ""Chapter 10. Super parameters""; ""Chapter 11. Good and perfect points""; ""Chapter 12. Relations""; ""Chapter 13. Well prepared morphisms""; ""Chapter 14. Construction of Ï?-well prepared diagrams""

""Chapter 15. Construction of a Ï?-very well prepared morphism""""Chapter 16. Toroidalization""; ""Chapter 17. Proofs of the main results""; ""Chapter 18. List of technical terms""; ""Bibliography""

Notes:

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

Includes bibliographical references.

Description based on print version record.

ISBN:

1-4704-0496-6