Construction of surfaces of general type from elliptic surfaces via Q-Gorenstein smoothing

JongHae Keum; Yongnam Lee; Heesang Park

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arXiv · 1008.1222

Construction of surfaces of general type from elliptic surfaces via Q-Gorenstein smoothing

JongHae Keum·Yongnam Lee·Heesang Park

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Abstract

We present methods to construct interesting surfaces of general type via $\mathbb{Q}$-Gorenstein smoothing of a singular surface obtained from an elliptic surface. By applying our methods to special Enriques surfaces, we construct new examples of a minimal surface of general type with $p_g=0$, $\pi_1=\mathbb{Z}/2\mathbb{Z}$, and $K^2\le 4$.

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JongHae Keum, Yongnam Lee, Heesang Park. 2010-08-06. Construction of surfaces of general type from elliptic surfaces via Q-Gorenstein smoothing. https://arxiv.org/abs/1008.1222

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