Linear systems on generic K3 surfaces

Details Linear systems on generic K3 surfaces Linear systems on generic K3 surfaces

2003-09-04

arxiv.org/abs/math/0309073v1

Mathematics

Algebraic Geometry

8 pages, LaTeX

Scientific paper

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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