K3 Projective Models in Scrolls (Lecture Notes in Mathematics, 1842)

Knutsen, Andreas L.; Johnsen, Trygve

ISBN 10: 3540215050 ISBN 13: 9783540215059

Editorial: Springer, 2004

Idioma: Ingl�s

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T�tulo

K3 Projective Models in Scrolls (Lecture Notes in Mathematics, 1842)

Editor

Springer

Fecha de publicaci�n

2004

Idioma

Ingl�s

ISBN 10

3540215050

ISBN 13

9783540215059

Encuadernaci�n

Encuadernaci�n de tapa blanda

Estado

New

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Sinopsis

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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