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...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Colecção: | Lecture notes in mathematics
1786 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
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| 100 | 1 | |a Cutkosky, Steven Dale, |d 1958- | |
| 245 | 1 | 0 | |a Monomialization of Morphisms from 3-folds to Surfaces |c Steven Dale Cutkosky. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1786 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 sequences of blowups of nonsingular subvarieties of X and S. The construction is very explicit and uses techniques from resolution of singularities. A research monograph in algebraic geometry, it addresses researchers and graduate students. | ||
| 650 | |a Morphismes (mathématiques) | ||
| 650 | |a Variétés algébriques | ||
| 650 | |a Variétés à 3 dimensions | ||
| 650 | |a Surfaces algébriques | ||
| 650 | |a Mathématiques | ||
| 650 | |a Géométrie algébrique | ||
| 776 | 0 | |0 078717256 |t Monomialization of morphisms from 3-folds to surfaces |f Steven Dale Cutkosky |d 2002 |c Berlin |n Springer |p 1 vol. (235 p.) |s Lecture notes in mathematics |z 3-540-43780-0 | |
| 776 | 0 | |t Monomialization of Morphisms from 3-Folds to Surfaces |b Texte imprimé |z 9783662208861 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b83848 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-7WDKDBG3-H |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750665203 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b83848 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754014487 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b83848 |z Accès INSA CVL | |
| 997 | |0 970250 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||