K3 Projective Models in Scrolls

By Trygve Johnsen and Andreas L. Knutsen

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.

• Format: Paperback
• Language: English
• ISBN: 3540215050
• ISBN13: 9783540215059
• Release Date: May 2004
• Publisher: Springer
• Length: 172 Pages
• Weight: 0.57 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"