K3 Projective Models in Scrolls

von Andreas L. Knutsen, Trygve Johnsen

172 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

The exposition studies projective models of
K
3 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
K
3 surfaces in projective spaces of low dimension, and leads to a classification of
K
3 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
K
3 surfaces and incorporating much of the Brill-Noether theory of curves and theory of syzygies developed in the mean time.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540215059
• Sprache: Englisch
• Erscheinungsdatum: 13.05.2004
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin