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.
Citation
Cindy De Volder. Antonio Laface. "Linear systems on generic $K3$ surfaces." Bull. Belg. Math. Soc. Simon Stevin 12 (4) 481 - 489, December 2005. https://doi.org/10.36045/bbms/1133793336
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