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K3 Projective Models in Scrolls
Paperback
Series: Lecture Notes in Mathematics, Book 1842
ISBN13: 9783540215059
Publisher: Springer Nature
Published: May 13 2004
Pages: 172
Weight: 0.57
Height: 0.38 Width: 6.14 Depth: 9.21
Language: English
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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