English

On universal Severi varieties of low genus K3 surfaces

Algebraic Geometry 2013-04-30 v2

Abstract

We prove the irreducibility of universal Severi varieties parametrizing irreducible, reduced, nodal hyperplane sections of primitive K3 surfaces of genus g, with 3 \le g \le 11, g \neq 10.

Keywords

Cite

@article{arxiv.1009.3360,
  title  = {On universal Severi varieties of low genus K3 surfaces},
  author = {Ciro Ciliberto and Thomas Dedieu},
  journal= {arXiv preprint arXiv:1009.3360},
  year   = {2013}
}

Comments

Some minor mistakes in the introductory paragraph 1.1 corrected. To appear in Math. Z