K3 Projective Models in Scrolls

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.Knutsen, Andreas L. is the author of 'K3 Projective Models in Scrolls', published 2004 under ISBN 9783540215059 and ISBN 3540215050.