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

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

2010-08-06

arxiv.org/abs/1008.1222v3

Mathematics

Algebraic Geometry

This paper combines two preprints arXiv:1008.1222 and arXiv:0910.3476. The results are slightly improved

Scientific paper

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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