Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kummer surfaces associated with group schemes   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 sigma\leq 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.

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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci