Commun. Korean Math. Soc. 2017; 32(3): 479-494
Online first article April 4, 2017 Printed July 31, 2017
https://doi.org/10.4134/CKMS.c160143
Copyright © The Korean Mathematical Society.
Heesang Park, Jongil Park, Dongsoo Shin, and Ki-Heon Yun
Konkuk University, Korea Institute for Advanced Study, Chungnam National University, Sungshin Women's University
We construct various examples of simply connected minimal complex surfaces of general type with $p_g=0$ and $K^2=1,2$ using $\mathbb{Q}$-Gorenstein smoothing method.
Keywords: $\mathbb{Q}$-Gorenstein smoothing, rational blow-down, surface of general type
MSC numbers: 14J29, 14J10, 14J17, 53D05
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