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A Stratification on the Moduli of K3 Surfaces in Positive Characteristic

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Arbeitstagung Bonn 2013

Part of the book series: Progress in Mathematics ((PM,volume 319))

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Abstract

We review the results on the cycle classes of the strata defined by the height and the Artin invariant on the moduli of K3 surfaces in positive characteristic obtained in joint work with Katsura and Ekedahl. In addition we prove a new irreducibility result for these strata.

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Authors and Affiliations

  1. Korteweg-de Vries Instituut, Universiteit van Amsterdam, Postbus 94248, 1090, GE, Amsterdam, The Netherlands

    Gerard van der Geer

Authors
  1. Gerard van der Geer
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Correspondence to Gerard van der Geer .

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Editors and Affiliations

  1. Max Planck Institute for Mathematics, Bonn, Germany

    Werner Ballmann

  2. Max Planck Institute for Mathematics, Bonn, Germany

    Christian Blohmann

  3. Max Planck Institute for Mathematics, Bonn, Germany

    Gerd Faltings

  4. Max Planck Institute for Mathematics, Bonn, Germany

    Peter Teichner

  5. Max Planck Institute for Mathematics, Bonn, Germany

    Don Zagier

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Dedicated to the memory of Fritz Hirzebruch

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van der Geer, G. (2016). A Stratification on the Moduli of K3 Surfaces in Positive Characteristic. In: Ballmann, W., Blohmann, C., Faltings, G., Teichner, P., Zagier, D. (eds) Arbeitstagung Bonn 2013. Progress in Mathematics, vol 319. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-43648-7_14

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