On certain duality of N\'eron-Severi lattices of supersingular K3 surfaces

@article{Kond2012OnCD,
  title={On certain duality of N\'eron-Severi lattices of supersingular K3 surfaces},
  author={Shigeyuki Kondō and Ichiro Shimada},
  journal={arXiv: Algebraic Geometry},
  year={2012}
}
Let X and Y be supersingular K3 surfaces defined over an algebraically closed field. Suppose that the sum of their Artin invariants is 11. Then there exists a certain duality between their N\'eron-Severi lattices. We investigate geometric consequences of this duality. As an application, we classify genus one fibrations on supersingular K3 surfaces with Artin invariant 10 in characteristic 2 and 3, and give a set of generators of the automorphism group of the nef cone of these supersingular K3… Expand

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