Mathematical Research Letters
Volume 16, Issue 2, March 2009 pp. 323-330.
A complex surface of general type with $p_g=0,$ $K^2=2$ and $H_1 = {\mZ}/2\mZ$Authors: Yongnam Lee (1) and Jongil Park (2)
Author institution: Sogang University (1) and Seoul National University (2)
Summary: As the sequel to~\cite{LP}, we construct a minimal complex surface of general type with $p_g=0$, $K^2=2$ and $H_1=\mZ/2\mZ$ using a rational blow-down surgery and $\mQ$-Gorenstein smoothing theory. We also present an example of $p_g=0, K^2=2$ and $H_1=\mZ/3\mZ$.
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