On the height of Calabi-Yau varieties in positive characteristic

  • G. van der Geer

    Faculteit Wiskunde en Informatica, University of Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, The Netherlands
  • T. Katsura

    Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8914, Japan
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Abstract

We study invariants of Calabi-Yau varieties in positive characteristic, especially the height of the Artin-Mazur formal group. We illustrate these results by Calabi-Yau varieties of Fermat and Kummer type.

Cite this article

G. van der Geer, T. Katsura, On the height of Calabi-Yau varieties in positive characteristic. Doc. Math. 8 (2003), pp. 97–113

DOI 10.4171/DM/140