K3 Projective Models in Scrolls
The exposition studies projective models of K3 surfaces whose hyperplane sections are non-Clifford general curves. These models are contained in rational normal scrolls. The exposition supplements standard descriptions of models of general K3 surfaces in projective spaces of low dimension, and leads...
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| Hlavní autoři: | , |
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Edice: | Lecture notes in mathematics
1842 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • K3 Projective Models in Scrolls, Trygve Johnsen, Andreas L. Knutsen, 2004, Berlin, Springer, 1 vol. (VIII-164 p.), Lecture Notes in Mathematics, 3-540-21505-0 • K3 Projective Models in Scrolls, Texte imprimé, 9783662184431 |
Obsah:
- Introduction
- Surfaces in scrolls
- The Clifford index of smooth curves in /L/ and the definition of the scrolls T(c, D, {D_{\lamda}})
- Two existence theorems
- The singular locus of the surface S and the scroll T
- Postponed proofs
- Projective models in smooth scrolls
- Projective models in singular scrolls
- More on projective models in smooth scrolls of K3 surfaces of low Clifford-indices
- BN general and Clifford general K3 surfaces
- Projective models of K3 surfaces of low genus
- Some applications and open questions
- References
- Index.