Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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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.

Simply connected complex surfaces of general type with $p_g=0$ and $K^2=1,2$

Heesang Park, Jongil Park, Dongsoo Shin, and Ki-Heon Yun

Konkuk University, Korea Institute for Advanced Study, Chungnam National University, Sungshin Women's University

Abstract

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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