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Characterization of a class of surfaces with p g = 0 and K 2 = 5 by their bicanonical maps

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Let S be a minimal surface of general type with \({p_g(S) = 0, K_S^2 = 5}\) . We prove that S is a Burniat surface if its bicanonical map is of degree 4 and has smooth image.

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  1. School of Mathematics Sciences, Peking University, Beijing, 100871, People’s Republic of China

    Lei Zhang

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  1. Lei Zhang
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Zhang, L. Characterization of a class of surfaces with p g = 0 and K 2 = 5 by their bicanonical maps. manuscripta math. 135, 165–181 (2011). https://doi.org/10.1007/s00229-010-0416-7

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  • DOI: https://doi.org/10.1007/s00229-010-0416-7

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