K3 Projective Models in Scrolls

Trygve Johnsen Andreas L. Knutsen

ISBN 10: 3540215050 / ISBN 13: 9783540215059

Published by Springer, 2004

About this Item

pp. 180.

Seller Inventory # 26329990

Bibliographic Details

• Title: K3 Projective Models in Scrolls
• Publisher: Springer
• Publication Date: 2004
• Language: English
• ISBN 10: 3540215050
• ISBN 13: 9783540215059
• Binding: Soft cover
• Condition: New

About this title

Synopsis

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.