Linear systems on generic K3 surfaces

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In this paper we prove the equivalence of two conjectures on linear systems through fat points on a generic K3 surface. The first conjecture is exactly as Segre conjecture on the projective plane. Whereas the second characterizes such linear system and can be compared to the Gimigliano-Harbourne-Hirschowitz conjecture.
8 pages, LaTeX

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Algebraic Geometry, 14C20, 14J28

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http://salesiana.dossiersoluciones.com/handle/123456789/68468

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309073
 http://arxiv.org/abs/math/0309073

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arXiv