Equidistribution over function fields
Abstract
Description
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.
23 pages; reference to X.W.C. Faber added who obtained some of the results independently. Minor errors corrected. To appear in manuscripta mathematica
23 pages; reference to X.W.C. Faber added who obtained some of the results independently. Minor errors corrected. To appear in manuscripta mathematica