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Involution surface bundles over surfaces

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Abstract

We construct models of involution surface bundles over algebraic surfaces, degenerating over normal crossing divisors, and with controlled singularities of the total space.

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Acknowledgements

We are grateful to Brendan Hassett and Alena Pirutka for stimulating discussions. The second author is partially supported by NSF grant 1601912. Part of this work was done during a visit of the second author to the ETH, and he is grateful for ideal working conditions at FIM.

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Authors and Affiliations

  1. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057, Zürich, Switzerland

    Andrew Kresch

  2. Courant Institute, 251 Mercer Street, New York, NY, 10012, USA

    Yuri Tschinkel

  3. Simons Foundation, 160 Fifth Avenue, New York, NY, 10010, USA

    Yuri Tschinkel

Authors
  1. Andrew Kresch
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  2. Yuri Tschinkel
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Correspondence to Yuri Tschinkel.

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Kresch, A., Tschinkel, Y. Involution surface bundles over surfaces. Math. Z. 296, 1081–1100 (2020). https://doi.org/10.1007/s00209-020-02461-4

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  • DOI: https://doi.org/10.1007/s00209-020-02461-4

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