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

Knutsen, Andreas L.; Johnsen, Trygve

ISBN 10: 3540215050 / ISBN 13: 9783540215059

Published by Springer, 2004

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Bibliographic Details

• Title: K3 Projective Models in Scrolls (Lecture Notes in Mathematics, 1842)
• Publisher: Springer
• Publication Date: 2004
• Language: English
• ISBN 10: 3540215050
• ISBN 13: 9783540215059
• Binding: Soft cover
• Condition: New

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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.