On the Supersingular K3 Surface in Characteristic 5 with Artin Invariant 1
نویسندگان
چکیده
منابع مشابه
Maximal Subgroups of the Mathieu Group M23 and Symplectic Automorphisms of Supersingular K3 Surfaces
We show that the Mathieu groups M22 and M11 can act on the supersingular K3 surface with Artin invariant 1 in characteristic 11 as symplectic automorphisms. More generally we show that all maximal subgroups of the Mathieu group M23 with three orbits on 24 letters act on a supersingular K3 surface with Artin invariant 1 in a suitable characteristic.
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A curve over finite field is supersingular if its Jacobian is supersingular as an abelian variety. On the one hand, supersingular abelian varieties form the smallest (closed) stratum in the moduli space of abelian varieties, on the other the intersection of Jacobian locus and the stratification of moduli space is little known. Consequently it is very difficult to locate a family of supersingula...
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We show that every supersingular K3 surface in characteristic 5 with Artin invariant ≤ 3 is unirational.
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We show that every supersingular K3 surface is birational to a double cover of a projective plane.
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We show that every supersingular K3 surface in characteristic 5 with Artin invariant ≤ 3 is unirational.
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2014
ISSN: 0026-2285
DOI: 10.1307/mmj/1417799227