A complex surface of general type with p_g=0, K^2=3 and H_1=Z/2Z
Algebraic Geometry
2008-03-26 v2 Geometric Topology
Abstract
This paper is an addendum to [4], in which the authors constructed a simply connected minimal complex surface of general type with p_g=0 and K^2=3. In this paper we construct a new non-simply connected minimal surface of general type with p_g=0, K^2=3 and H_1=Z/2Z using a rational blow-down surgery and Q-Gorenstein smoothing theory.
Keywords
Cite
@article{arxiv.0803.1322,
title = {A complex surface of general type with p_g=0, K^2=3 and H_1=Z/2Z},
author = {Heesang Park and Jongil Park and Dongsoo Shin},
journal= {arXiv preprint arXiv:0803.1322},
year = {2008}
}
Comments
4 pages, 3 figures, some errors are fixed