Equidistribution over function fields

Details Equidistribution over function fields Equidistribution over function fields

2008-01-29

arxiv.org/abs/0801.4508v3

Mathematics

Number Theory

23 pages; reference to X.W.C. Faber added who obtained some of the results independently. Minor errors corrected. To appear in

Scientific paper

We prove equidistribution of a generic net of small points in a projective variety X over a function field K. For an algebraic dynamical system over K, we generalize this equidistribution theorem to a small generic net of subvarieties. For number fields, these results were proved by Yuan and we transfer here his methods to function fields. If X is a closed subvariety of an abelian variety, then we can describe the equidistribution measure explicitly in terms of convex geometry.

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