The distribution of class groups of function fields

Details The distribution of class groups of function fields The distribution of class groups of function fields

2004-03-03

arxiv.org/abs/math/0403084v2

Mathematics

Number Theory

To appear, JPAA

Scientific paper

Using equidistribution results of Katz and a computation in finite symplectic
groups, we give an explicit asymptotic formula for the proportion of curves C
over a finite field for which the l-torsion of Jac(C) is isomorphic to a given
abelian l-group. In doing so, we prove a conjecture of Friedman and Washington

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