K3 Projective Models in Scrolls

K3 Projective Models in Scrolls The exposition studies projective models of K3 surfaces whosehyperplane sections are non-Clifford general curves. These models arecontained in rational normal scrolls. The exposition supplementsstandard descriptions of models of general K3 surfaces in projectivespaces of low dimension, and leads to a classification of K3 surfacesin projective spaces of dimension at most 10. The authors bringfurther the ideas in Saint-Donat's classical article from 1974,lifting results from canonical curves to K3 surfaces andincorporating much of the Brill-Noether theory of curves and theoryof syzygies developed in the mean time.

Authors: Johnsen T., Knutsen A.L.Pages: 167     Year: 2004

Tags: scrolls projective models

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