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Geometric Frobenius

We finish by showing how to compute the number of points of the symmetric power for a variety X over Fq. The geometric Frobenius F = Fq acts on XM(Fq) by... [Pg.7]

For the next four lemmas let q be a prime power satisfying gcd(n,q) = 1 and let either S = A be an abelian surface over Fq or let S—>A be a geometrically ruled surface over an elliptic curve A over Fq. In this case we assume that there exist an open cover ([/ ),- of A and isomorphisms a 1( 7i) = /, x Pj over Fq. In both cases we assume that, for all l < n, all the /-division points of A are defined over Fq. All these conditions can be obtained by extending Fq if necessary. Let F be the geometric Frobenius over Fq. We put... [Pg.43]

See other pages where Geometric Frobenius is mentioned: [Pg.5]    [Pg.5]    [Pg.31]    [Pg.202]    [Pg.5]    [Pg.5]    [Pg.7]    [Pg.31]    [Pg.192]    [Pg.5]    [Pg.5]    [Pg.31]    [Pg.202]    [Pg.5]    [Pg.5]    [Pg.7]    [Pg.31]    [Pg.192]    [Pg.5]    [Pg.5]   
See also in sourсe #XX -- [ Pg.5 , Pg.7 , Pg.31 , Pg.43 ]

See also in sourсe #XX -- [ Pg.5 , Pg.7 , Pg.31 , Pg.43 ]



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Frobenius

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