On the supersingular K3 surface in characteristic 5 with Artin invariant 1
Algebraic Geometry
2014-08-26 v2
Abstract
We present three interesting projective models of the supersingular K3 surface X in characteristic 5 with Artin invariant 1. For each projective model, we determine smooth rational curves on X with the minimal degree and the projective automorphism group. Moreover, by using the superspecial abelian surface, we construct six sets of 16 disjoint smooth rational curves on X, and show that they form a beautiful configuration.
Keywords
Cite
@article{arxiv.1312.0687,
title = {On the supersingular K3 surface in characteristic 5 with Artin invariant 1},
author = {Toshiyuki Katsura and Shigeyuki Kondo and Ichiro Shimada},
journal= {arXiv preprint arXiv:1312.0687},
year = {2014}
}
Comments
36 pages