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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| Médium: | Livre numérique |
| Jazyk: | Anglais |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Edice: | Lecture notes in mathematics
1842 |
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| 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 |
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| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Johnsen, Trygve. | |
| 245 | 1 | 0 | |a K3 Projective Models in Scrolls |c Trygve Johnsen, Andreas Leopold Knutsen. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1842 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 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 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 to a classification of K3 surfaces in projective spaces of dimension at most 10. The authors bring further the ideas in Saint-Donat's classical article from 1974, lifting results from canonical curves to K3 surfaces and incorporating much of the Brill-Noether theory of curves and theory of syzygies developed in the mean time. | ||
| 650 | |a Surfaces algébriques | ||
| 650 | |a Modules projectifs (algèbre) | ||
| 650 | |a Mathématiques | ||
| 650 | |a Géométrie algébrique | ||
| 700 | 1 | |a Knutsen, Andreas Leopold. |4 aut | |
| 776 | 0 | |0 07866926X |t K3 Projective Models in Scrolls |f Trygve Johnsen, Andreas L. Knutsen |d 2004 |c Berlin |n Springer |p 1 vol. (VIII-164 p.) |s Lecture Notes in Mathematics |z 3-540-21505-0 | |
| 776 | 0 | |t K3 Projective Models in Scrolls |b Texte imprimé |z 9783662184431 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/b97183 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-TCHLW0DZ-R |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750634227 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/b97183 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753990539 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/b97183 |z Accès INSA CVL | |
| 997 | |0 972665 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||