English

A simply connected surface of general type with $p_g=1$, $q=0$, and $K^2=8$

Algebraic Geometry 2009-10-20 v1 Geometric Topology

Abstract

We construct a new family of simply connected minimal complex surfaces with pg=1p_g=1, q=0q=0, and K2=8K^2=8 using a Q\mathbb{Q}-Gorenstein smoothing theory.

Keywords

Cite

@article{arxiv.0910.3506,
  title  = {A simply connected surface of general type with $p_g=1$, $q=0$, and $K^2=8$},
  author = {Heesang Park and Jongil Park and Dongsoo Shin},
  journal= {arXiv preprint arXiv:0910.3506},
  year   = {2009}
}

Comments

5 pages, 5 figures