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arxiv: math/0309073 · v1 · submitted 2003-09-04 · 🧮 math.AG

Linear systems on generic K3 surfaces

classification 🧮 math.AG
keywords conjecturelineargenericsystemscharacterizescomparedconjecturesequivalence
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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.

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