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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 |
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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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 190; 2007; 222 ppMSC: 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.
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Table of Contents
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Chapters
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1. Introduction
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2. An outline of the proof
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3. Notation
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4. Toroidal morphisms and prepared morphisms
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5. Toroidal ideals
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6. Toroidalization of morphisms from 3-folds to surfaces
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7. Preparation above 2 and 3-points
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8. Preparation
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9. The $\tau $ invariant
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10. Super parameters
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11. Good and perfect points
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12. Relations
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13. Well prepared morphisms
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14. Construction of $\tau $-well prepared diagrams
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15. Construction of a $\tau $-very well prepared morphism
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16. Toroidalization
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17. Proofs of the main results
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18. List of technical terms
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
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Volume: 190; 2007; 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
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