arXiv:math/0403084 Abstract

arXiv:math/0403084 [math.NT]Abstract References Reviews Resources

The distribution of class groups of function fields

Published 2004-03-03, updated 2005-03-21Version 2

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

Comments: To appear, JPAA

Categories: math.NT

Keywords: class groups, function fields, finite symplectic groups, explicit asymptotic formula, finite field

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