On Hrushovski's proof of the Manin-Mumford conjecture

dc.creatorPink, Richard
dc.creatorRoessler, Damian
dc.date2002-12-01
dc.date.accessioned2026-07-07T04:54:11Z
dc.date.available2026-07-07T04:54:11Z
dc.descriptionThe Manin-Mumford conjecture in characteristic zero was first proved by Raynaud. Later, Hrushovski gave a different proof using model theory. His main result from model theory, when applied to abelian varieties, can be rephrased in terms of algebraic geometry. In this paper we prove that intervening result using classical algebraic geometry alone. Altogether, this yields a new proof of the Manin-Mumford conjecture using only classical algebraic geometry.
dc.identifierhttps://arxiv.org/abs/math/0212408
dc.identifierhttp://arxiv.org/abs/math/0212408
dc.identifierProceedings of the ICM, Beijing 2002, vol. 1, 539--546
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66147
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject14K12
dc.titleOn Hrushovski's proof of the Manin-Mumford conjecture
dc.typetext

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