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Science/Engineering K3 Projective Models in Scrolls (Lecture Notes in Mathematics)

Posted on 2010-03-15




Name:Science/Engineering K3 Projective Models in Scrolls (Lecture Notes in Mathematics)
ASIN/ISBN:3540215050
Language:English
File size:1.77 Mb
ISBN: 3540215050
Publish Date: 2004-06-24
File Type: PDF
Pages: 164 pages
File Size: 1,77 MB
Other Info: Springer
   Science/Engineering K3 Projective Models in Scrolls (Lecture Notes in Mathematics)

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K3 Projective Models in Scrolls (Lecture Notes in Mathematics)

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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