The Rank of the Cartier operator on cyclic covers of the projective line

2007/08/02 by Arsen Elkin, Elkin, Arsen
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG #msc:11G10 #msc:14H40

paper · pdf · doi:10.48550/arxiv.0708.0431

arxiv created 2010/05/17 · arxiv updated 2010/05/18

Abstract

We give a lower bound on the rank of the Cartier operator of Jacobian varieties of hyperelliptic and superelliptic curves in terms of their genus.

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