Surfaces of general type with $p_g=1$ and $q=0$

Heesang Park; Jongil Park; Dongsoo Shin

Surfaces of general type with $p_g=1$ and $q=0$

Algebraic Geometry 2011-01-18 v2 Geometric Topology

Authors: Heesang Park , Jongil Park , Dongsoo Shin

Abstract

In this paper we construct a new family of simply connected minimal complex surfaces of general type with $p_g=1$ , $q=0$ , and $K^2=3, 4, 5, 6, 8$ using a $\mathbb{Q}$ -Gorenstein smoothing theory. We also reconstruct minimal complex surfaces of general type with $p_g=1$ , $q=0$ , and $K^2=1, 2$ using the same method.

Keywords

surfaces of general type minimal complex surfaces Q-Gorenstein smoothing simply connected geographic classification

Cite

@article{arxiv.0906.5195,
  title  = {Surfaces of general type with $p_g=1$ and $q=0$},
  author = {Heesang Park and Jongil Park and Dongsoo Shin},
  journal= {arXiv preprint arXiv:0906.5195},
  year   = {2011}
}

Comments

21 pages, 29 figures. Title changed. This paper combines two preprints arXiv:0906.5195 and arXiv:0910.3506

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