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Bull. Korean Math. Soc. 2010; 47(6): 1269-1274

Printed November 1, 2010

https://doi.org/10.4134/BKMS.2010.47.6.1269

Copyright © The Korean Mathematical Society.

A complex surface of general type with $p_g=0$, $K^2=3$ and $H_1=\mathbb{Z}/2\mathbb{Z}$

Heesang Park, Jongil Park, and Dongsoo Shin

Korea Institute for Advanced Study, Korea Institute for Advanced Study, Chungnam National University

Abstract

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As the sequel to our previous work [4], we construct a minimal complex surface of general type with $p_g=0, K^2=3$ and $H_1=\mathbb{Z}/2\mathbb{Z}$ by using a rational blow-down surgery and $\mathbb{Q}$-Gorenstein smoothing theory.

Keywords: $\mathbb{Q}$-Gorenstein smoothing, rational blow-down, surface of general type

MSC numbers: Primary 14J29; Secondary 14J10, 14J17, 53D05

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