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Rational double points on Enriques surfaces

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Abstract

We classify, up to some lattice-theoretic equivalence, all possible configurations of rational double points that can appear on a surface whose minimal resolution is a complex Enriques surface.

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Acknowledgements

The author thanks Professors Matthias Schütt and Hisanori Ohashi for many discussions. Thanks are also due to the referees for many helpful comments on the first version of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan

    Ichiro Shimada

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  1. Ichiro Shimada
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Correspondence to Ichiro Shimada.

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Shimada, I. Rational double points on Enriques surfaces. Sci. China Math. 64, 665–690 (2021). https://doi.org/10.1007/s11425-019-1796-x

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  • DOI: https://doi.org/10.1007/s11425-019-1796-x

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