Asian Journal of Mathematics

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

Ichiro Shimada

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 ℙ2 defined by ω2 = 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


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