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The distribution of class groups of function fields

Jeff Achter
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Abstract

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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Jeff Achter. 2004-03-03. The distribution of class groups of function fields. https://doi.org/10.1016/j.jpaa.2005.04.003

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