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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Bibliografski detalji
Glavni autori: Johnsen, Trygve, Knutsen, Andreas Leopold (Autor)
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serija: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
Opis
Sažetak: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.
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ISBN:9783540408987 (PDF)
ISSN:1617-9692
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