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
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.
Asian J. Math., Volume 8, Number 3 (2004), 531-586.
First available in Project Euclid: 20 October 2004
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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