# On a stratification of the moduli of K3 surfaces

Gerard van der Geer; T. Katsura

Journal of the European Mathematical Society (2000)

- Volume: 002, Issue: 3, page 259-290
- ISSN: 1435-9855

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topvan der Geer, Gerard, and Katsura, T.. "On a stratification of the moduli of K3 surfaces." Journal of the European Mathematical Society 002.3 (2000): 259-290. <http://eudml.org/doc/277761>.

@article{vanderGeer2000,

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.},

author = {van der Geer, Gerard, Katsura, T.},

journal = {Journal of the European Mathematical Society},

keywords = {K3 surfaces; cycle classes; Deuring formula; supersingular elliptic curves; characteristic ; moduli of K3 surfaces; height of K3 surfaces; cycle classes},

language = {eng},

number = {3},

pages = {259-290},

publisher = {European Mathematical Society Publishing House},

title = {On a stratification of the moduli of K3 surfaces},

url = {http://eudml.org/doc/277761},

volume = {002},

year = {2000},

}

TY - JOUR

AU - van der Geer, Gerard

AU - Katsura, T.

TI - On a stratification of the moduli of K3 surfaces

JO - Journal of the European Mathematical Society

PY - 2000

PB - European Mathematical Society Publishing House

VL - 002

IS - 3

SP - 259

EP - 290

AB - 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.

LA - eng

KW - K3 surfaces; cycle classes; Deuring formula; supersingular elliptic curves; characteristic ; moduli of K3 surfaces; height of K3 surfaces; cycle classes

UR - http://eudml.org/doc/277761

ER -

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