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Toroidalization of Dominant Morphisms of 3-Folds
 
Steven Dale Cutkosky University of Missouri, Columbia, Columbia, MO
Toroidalization of Dominant Morphisms of 3-Folds
eBook ISBN:  978-1-4704-0496-3
Product Code:  MEMO/190/890.E
List Price: $82.00
MAA Member Price: $73.80
AMS Member Price: $49.20
Toroidalization of Dominant Morphisms of 3-Folds
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Toroidalization of Dominant Morphisms of 3-Folds
Steven Dale Cutkosky University of Missouri, Columbia, Columbia, MO
eBook ISBN:  978-1-4704-0496-3
Product Code:  MEMO/190/890.E
List Price: $82.00
MAA Member Price: $73.80
AMS Member Price: $49.20
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1902007; 222 pp
    MSC: Primary 14

    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
     
     
    • Chapters
    • 1. Introduction
    • 2. An outline of the proof
    • 3. Notation
    • 4. Toroidal morphisms and prepared morphisms
    • 5. Toroidal ideals
    • 6. Toroidalization of morphisms from 3-folds to surfaces
    • 7. Preparation above 2 and 3-points
    • 8. Preparation
    • 9. The $\tau $ invariant
    • 10. Super parameters
    • 11. Good and perfect points
    • 12. Relations
    • 13. Well prepared morphisms
    • 14. Construction of $\tau $-well prepared diagrams
    • 15. Construction of a $\tau $-very well prepared morphism
    • 16. Toroidalization
    • 17. Proofs of the main results
    • 18. List of technical terms
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1902007; 222 pp
MSC: Primary 14

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.

  • Chapters
  • 1. Introduction
  • 2. An outline of the proof
  • 3. Notation
  • 4. Toroidal morphisms and prepared morphisms
  • 5. Toroidal ideals
  • 6. Toroidalization of morphisms from 3-folds to surfaces
  • 7. Preparation above 2 and 3-points
  • 8. Preparation
  • 9. The $\tau $ invariant
  • 10. Super parameters
  • 11. Good and perfect points
  • 12. Relations
  • 13. Well prepared morphisms
  • 14. Construction of $\tau $-well prepared diagrams
  • 15. Construction of a $\tau $-very well prepared morphism
  • 16. Toroidalization
  • 17. Proofs of the main results
  • 18. List of technical terms
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.