K3 Projective models in scrolls
By: Trygve Johnsen, Andreas Leopold Knutsen.
Contributors: Knutsen, Andreas Leopold.
Series: Lecture notes in mathematics -- 1842.; Lecture notes in mathematics (Springer-Verlag) -- 1842.
Publisher: Springer
Published: 2004
Place of publication: Berlin
Language: eng
Number of pages: 164
Subjects: Projective modules (Algebra); Surfaces, Algebraic.
Description: 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.
Notes: Includes bibliographical references (p. [169]-162) and index.