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arXiv · 1407.5785

A characterization of Burniat surfaces with $K^{2}=4$ and of non nodal type

YongJoo Shin
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Abstract

Let $S$ be a minimal surface of general type with $p_{g}(S)=0$ and $K^{2}_{S}=4$. Assume the bicanonical map $φ$ of $S$ is a morphism of degree $4$ such that the image of $φ$ is smooth. Then we prove that the surface $S$ is a Burniat surface with $K^{2}=4$ and of non nodal type.

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YongJoo Shin. 2015-07-13. A characterization of Burniat surfaces with $K^{2}=4$ and of non nodal type. https://arxiv.org/abs/1407.5785

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