K3 Projective Models in Scrolls

Trygve Johnsen Andreas L. Knutsen

ISBN 10: 3540215050 / ISBN 13: 9783540215059

Editore: Springer, 2004

pp. 180. Codice articolo 26329990

Riassunto:

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.

Dalla quarta di copertina:

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.

Dati bibliografici

Titolo: K3 Projective Models in Scrolls
Casa editrice: Springer
Data di pubblicazione: 2004
Legatura: Brossura
Condizione: New