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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.
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Previews available in: English
Subjects
Algebraic Surfaces, Projective modules (Algebra), K 3- Fläche, Algebraische Geometrie, Variété kählérienne, Geometria diferencial projetiva, Algebraïsche meetkunde, Modules projectifs (Algèbre), Surface algébrique, Module projectif (Algèbre), Surfaces algébriques, Calculus, Mathematics, Geometry, algebraicEdition | Availability |
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Book Details
Edition Notes
Includes bibliographical references (p. [169]-162) and index.
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- Created September 30, 2008
- 11 revisions
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December 5, 2024 | Edited by MARC Bot | import existing book |
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September 30, 2008 | Created by ImportBot | Imported from Oregon Libraries MARC record |