English

Linear systems on generic K3 surfaces

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0309073,
  title  = {Linear systems on generic K3 surfaces},
  author = {Cindy De Volder and Antonio Laface},
  journal= {arXiv preprint arXiv:math/0309073},
  year   = {2007}
}

Comments

8 pages, LaTeX