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Linear systems on generic K3 surfaces

Cindy De Volder·Antonio Laface
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Abstract

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.

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Cindy De Volder, Antonio Laface. 2003-09-04. Linear systems on generic K3 surfaces. https://arxiv.org/abs/math/0309073

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