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Surfaces with K2=pg=1 and their period mapping
- Publisher
- Springer Journals
- Copyright
- Copyright © 2000 by Springer-Verlag Berlin Heidelberg & EMS
- Subject
- Mathematics; Mathematics, general
- ISSN
- 1435-9855
- DOI
- 10.1007/s100970000021
- Publisher site
- See Article on Publisher Site
Abstract
In this paper we give a characterization of the height of K3 surfaces in characteristic p>0. This enables us to calculate the cycle classes in families of K3 surfaces of the loci where the height is at least h. 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 p. In order to describe the tangent spaces to these loci we study the first cohomology of higher closed forms.
Journal
Journal of the European Mathematical Society – Springer Journals
Published: Aug 1, 2000