English

The Severi problem for Hirzebruch surfaces

Algebraic Geometry 2007-05-23 v1

Abstract

We prove that the locus of irreducible nodal curves on a given Hirzebruch surface F_k of given linear equivalency class and genus g is irreducible.

Keywords

Cite

@article{arxiv.math/0404068,
  title  = {The Severi problem for Hirzebruch surfaces},
  author = {Vsevolod Shevchishin},
  journal= {arXiv preprint arXiv:math/0404068},
  year   = {2007}
}

Comments

30 pages