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

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

2003-11-06

arxiv.org/abs/math/0311073v1

Mathematics

Algebraic Geometry

54 pages, 5 figures

Scientific paper

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 a projective plane defined by $w^2=G$. We present an algorithm to calculate from $G$ a set of generators of the numerical N\'eron-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.

Affiliated with

Also associated with

No associations

Rating

Supersingular K3 surfaces in characteristic 2 as double covers of a projective plane does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Supersingular K3 surfaces in characteristic 2 as double covers of a projective plane, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersingular K3 surfaces in characteristic 2 as double covers of a projective plane will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-519464