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.
Heesang Park, Jongil Park, and Dongsoo Shin
Korea Institute for Advanced Study, Korea Institute for Advanced Study, Chungnam National University
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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