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A characterization of Burniat surfaces with K 2=4 and of non nodal type

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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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Authors and Affiliations

  1. Shanghai Center for Mathematical Sciences, Fudan University, Shanghai, 200433, China

    YongJoo Shin

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  1. YongJoo Shin
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Correspondence to YongJoo Shin.

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Shin, Y. A characterization of Burniat surfaces with K 2=4 and of non nodal type. Sci. China Math. 59, 839–848 (2016). https://doi.org/10.1007/s11425-015-5090-5

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  • DOI: https://doi.org/10.1007/s11425-015-5090-5

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