K3 Projective Models in Scrolls

K3 Projective Models in Scrolls

Andreas L. Knutsen / Trygve Johnsen

60,62 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2004
ISBN:
9783540215059
60,62 €
IVA incluido
Disponible

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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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