Monomialization of Morphisms from 3-folds to Surfaces
A morphism of algebraic varieties (over a field characteristic 0) is monomial if it can locally be represented in e'tale neighborhoods by a pure monomial mappings. The book gives proof that a dominant morphism from a nonsingular 3-fold X to a surface S can be monomialized by performing sequence...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Collection: | Lecture notes in mathematics
1786 |
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Monomialization of morphisms from 3-folds to surfaces, Steven Dale Cutkosky, 2002, Berlin, Springer, 1 vol. (235 p.), Lecture notes in mathematics, 3-540-43780-0 • Monomialization of Morphisms from 3-Folds to Surfaces, Texte imprimé, 9783662208861 |
Table des matières:
- 1. Introduction
- 2. Local Monomialization
- 3. Monomialization of Morphisms in Low Dimensions
- 4. An Overview of the Proof of Monomialization of Morphisms from 3 Folds to Surfaces
- 5. Notations
- 6. The Invariant v
- 7. The Invariant v under Quadratic Transforms
- 8. Permissible Monoidal Transforms Centered at Curves
- 9. Power Series in 2 Variables
- 10. Ar(X)
- 11.Reduction of v in a Special Case
- 12. Reduction of v in a Second Special Case
- 13. Resolution 1
- 14. Resolution 2
- 15. Resolution 3
- 16. Resolution 4
- 17. Proof of the main Theorem
- 18. Monomialization
- 19. Toroidalization
- 20. Glossary of Notations and definitions
- References.