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- W4287979285 abstract "We introduce Kummer surfaces X=Km(CxC) with the group scheme G=mu_2 acting on the self-product of the rational cuspidal curve in characteristic two. The resulting quotients are normal surfaces having a configuration of sixteen rational double points of type A_1, together with a rational double point of type D_4. We show that our Kummer surfaces are precisely the supersingular K3 surfaces with Artin invariant sigmaleq 3, and characterize them by the existence of a certain configuration of thirty curves. After contracting suitable curves, they also appear as normal K3-like coverings for simply-connected Enriques surfaces." @default.
- W4287979285 created "2022-07-26" @default.
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- W4287979285 date "2019-12-27" @default.
- W4287979285 modified "2023-09-24" @default.
- W4287979285 title "Kummer surfaces associated with group schemes" @default.
- W4287979285 doi "https://doi.org/10.48550/arxiv.1912.12015" @default.
- W4287979285 hasPublicationYear "2019" @default.
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