Equidistribution over function fields

dc.creatorGubler, Walter
dc.date2008-01-29
dc.date2008-06-25
dc.date.accessioned2026-07-07T09:46:18Z
dc.date.available2026-07-07T09:46:18Z
dc.descriptionWe 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.
dc.description23 pages; reference to X.W.C. Faber added who obtained some of the results independently. Minor errors corrected. To appear in manuscripta mathematica
dc.identifierhttps://arxiv.org/abs/0801.4508
dc.identifierhttp://arxiv.org/abs/0801.4508
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163480
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14G40; 11G50
dc.titleEquidistribution over function fields
dc.typetext

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