Lecture Notes in Mathematics

Knutsen, Andreas L.; Johnsen, Trygve

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.

Details

Published by: Springer

Publication Date: 2004-05-13

Format: Paperback

ISBN-13: 9783540215059

DOI: 10.1007/b97183

Dimensions: 235cm x155cm

Pages: 172