## Asian Journal of Mathematics

- Asian J. Math.
- Volume 8, Number 3 (2004), 531-586.

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

#### 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*.

#### Article information

**Source**

Asian J. Math., Volume 8, Number 3 (2004), 531-586.

**Dates**

First available in Project Euclid: 20 October 2004

**Permanent link to this document**

https://projecteuclid.org/euclid.ajm/1098301004

**Mathematical Reviews number (MathSciNet)**

MR2036331

**Zentralblatt MATH identifier**

1080.14047

#### Citation

Shimada, Ichiro. Supersingular K3 surfaces in charactertistic 2 as double covers of a projective plane. Asian J. Math. 8 (2004), no. 3, 531--586. https://projecteuclid.org/euclid.ajm/1098301004