English

A construction of Horikawa surface via Q-Gorenstein smoothings

Algebraic Geometry 2008-06-15 v3 Geometric Topology

Abstract

In this article we prove that Fintushel-Stern's construction of Horikawa surface, which is obtained from an elliptic surface via a rational blow-down surgery in smooth category, can be performed in complex category. The main technique involved is Q-Gorenstein smoothings.

Keywords

Cite

@article{arxiv.0708.3319,
  title  = {A construction of Horikawa surface via Q-Gorenstein smoothings},
  author = {Yongnam Lee and Jongil Park},
  journal= {arXiv preprint arXiv:0708.3319},
  year   = {2008}
}

Comments

10 pages, some corrections and Proposition 3.1 is added