JournalsjemsVol. 2, No. 3pp. 259–290

On a stratification of the moduli of K3 surfaces

  • Gerard van der Geer

    Universiteit van Amsterdam, Netherlands

  • Toshiyuki Katsura

    University of Tokyo, Japan
On a stratification of the moduli of K3 surfaces cover
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Abstract

In this paper we give a characterization of the height of K3 surfaces in characteristic . This enables us to calculate the cycle classes in families of K3 surfaces of the loci where the height is at least . The formulas for such loci can be seen as generalizations of the famous formula of Deuring for the number of supersingular elliptic curves in characteristic . In order to describe the tangent spaces to these loci we study the first cohomology of higher closed forms.

Cite this article

Gerard van der Geer, Toshiyuki Katsura, On a stratification of the moduli of K3 surfaces. J. Eur. Math. Soc. 2 (2000), no. 3, pp. 259–290

DOI 10.1007/S100970000021