English

Rational cuspidal curves with four cusps on Hirzebruch surfaces

Algebraic Geometry 2013-03-19 v1

Abstract

The purpose of this article is to shed light on the question of how many and what kind of cusps a rational cuspidal curve on a Hirzebruch surface can have. We use birational transformations to construct rational cuspidal curves with four cusps on the Hirzebruch surfaces and find associated results for these curves.

Keywords

Cite

@article{arxiv.1303.4178,
  title  = {Rational cuspidal curves with four cusps on Hirzebruch surfaces},
  author = {Torgunn Karoline Moe},
  journal= {arXiv preprint arXiv:1303.4178},
  year   = {2013}
}

Comments

26 pages, 1 figure

R2 v1 2026-06-21T23:43:34.207Z