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Toroidalization of dominant morphisms of 3-folds

About this Title

Steven Dale Cutkosky

Publication: Memoirs of the American Mathematical Society
Publication Year: 2007; Volume 190, Number 890
ISBNs: 978-0-8218-3998-0 (print); 978-1-4704-0496-3 (online)
DOI: https://doi.org/10.1090/memo/0890
MathSciNet review: 2356202
MSC: Primary 14E05; Secondary 14J30

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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