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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.
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Review
From the reviews:
"The aim of this book is to give a description of projective models of K3 surfaces. It is clearly written and presents a complete exposition on the subject. The proofs use a variety of important techniques in projective geometry. ... A graduate student interested in projective algebraic geometry could find this book quite useful and inspiring." (Sandra Di Rocco, Mathematical Reviews, Issue 2005 g)
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- PublisherSpringer
- Publication date2004
- ISBN 10 3540215050
- ISBN 13 9783540215059
- BindingPaperback
- LanguageEnglish
- Number of pages180
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K3 Projective Models in Scrolls (Lecture Notes in Mathematics, 1842)
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K3 Projective Models in Scrolls
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Springer Berlin Heidelberg Mai 2004, 2004
ISBN 10: 3540215050
ISBN 13: 9783540215059
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 180 pp. Englisch. Seller Inventory # 9783540215059
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K3 Projective Models in Scrolls
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ISBN 13: 9783540215059
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783540215059
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K3 Projective Models in Scrolls
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 K. Seller Inventory # 4885212
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K3 Projective Models in Scrolls (Lecture Notes in Mathematics)
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