K3 Projective Models in Scrolls: 1842 (Lecture Notes in Mathematics, 1842) - Softcover

Knutsen, Andreas L.; Johnsen, Trygve

 
9783540215059: K3 Projective Models in Scrolls: 1842 (Lecture Notes in Mathematics, 1842)

Synopsis

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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From the Back Cover

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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Other Popular Editions of the Same Title

9783662184431: K3 Projective Models in Scrolls

Featured Edition

ISBN 10:  3662184435 ISBN 13:  9783662184431
Publisher: Springer, 2014
Softcover