%0 Generic %1 shimada2003supersingular %A Shimada, Ichiro %D 2003 %K characteristic k3 supersingular surfaces %T Supersingular K3 surfaces in characteristic 2 as double covers of a projective plane %U http://arxiv.org/abs/math/0311073 %X 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 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.

@misc{shimada2003supersingular, 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 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.}, added-at = {2013-12-23T06:37:54.000+0100}, author = {Shimada, Ichiro}, biburl = {https://www.bibsonomy.org/bibtex/212a69eed80cb1ed5fd4175555b9aef22/aeu_research}, description = {Supersingular K3 surfaces in characteristic 2 as double covers of a projective plane}, interhash = {5bb4593a3ef5aba4fc433d58c03245e7}, intrahash = {12a69eed80cb1ed5fd4175555b9aef22}, keywords = {characteristic k3 supersingular surfaces}, note = {cite arxiv:math/0311073Comment: 54 pages, 5 figures}, timestamp = {2013-12-23T06:37:54.000+0100}, title = {Supersingular K3 surfaces in characteristic 2 as double covers of a projective plane}, url = {http://arxiv.org/abs/math/0311073}, year = 2003 }