A complex surface of general type with p_g=0, K^2=2 and H_1 = Z/2Z

• Autores: Yongnam Lee, Jongil Park
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 16, Nº 2-3, 2009, págs. 323-330
• Idioma: inglés
• DOI: 10.4310/mrl.2009.v16.n2.a9
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• Resumen

  • 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 $H_1=\mZ/3\mZ$.