A Supersingular K 3 Surface in Characteristic 2 and the Leech Lattice

نویسنده

  • S. Kondō
چکیده

Let k be an algebraically closed field of characteristic 2. Consider F4 ⊂ k and P(F4) ⊂ P(k). Let P be the set of points and let P̌ be the set of lines in P(F4). Each set contains 21 elements, each point is contained in exactly 5 lines, and each line contains exactly 5 points. It is known that the group of automorphisms of the configuration (P, P̌) is isomorphic to M21 ·D12, where M21(∼ = PSL(3,F4)) is a simple subgroup of the Mathieu group M24 and D12 is a dihedral group of order 12. In this paper, we prove the following main theorem.

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تاریخ انتشار 2001