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arXiv · 0910.3476

A complex surface of general type with $p_g=0$, $K^2=4$, and $π_1=\mathbb{Z}/2\mathbb{Z}$

Heesang Park
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Abstract

We construct a minimal complex surface of general type with $p_g=0$, $K^2 =4$, and $π_1=\mathbb{Z}/2\mathbb{Z}$ using a rational blow-down surgery and a $\mathbb{Q}$-Gorenstein smoothing theory. In a similar fashion, we also construct a symplectic 4-manifold with $b_2^+=1$, $K^2=5$, and $π_1=\mathbb{Z}/2\mathbb{Z}$.

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Heesang Park. 2009-11-03. A complex surface of general type with $p_g=0$, $K^2=4$, and $π_1=\mathbb{Z}/2\mathbb{Z}$. https://arxiv.org/abs/0910.3476

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