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# Asian Journal of Mathematics

## Volume 8 (2004)

### Number 3

### Supersingular *K3* surfaces in charactertistic *2* as double covers of a projective plane

Pages: 531 – 586

DOI: http://dx.doi.org/10.4310/AJM.2004.v8.n3.a8

#### Author

#### Abstract

For every supersingular *K3* surface *X* in characteristic *2*, there exists a homogeneous polynomial *G* of degree 6 such that *X* is birational to the purely inseparable double cover of ℙ^{2} defined by ω^{2} = *G*. We present an algorithm to calculate from *G* a set of generators of the numerical Néron-Severi lattice of *X*. As an application, we investigate the stratification defined by the Artin invariant on a moduli space of supersingular *K3* surfaces of degree *2* in characteristic *2*.