Diophantine Approximation on varieties III: Approximation of non-algebraic points by algebraic points

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dc.creatorMassold, Heinrich
dc.date2007-11-23
dc.date.accessioned2026-07-07T08:44:36Z
dc.date.available2026-07-07T08:44:36Z
dc.descriptionFor $θ$ a non-algebraic point on a quasi projective variety over a number field, I prove that $θ$ has an approximation by a series of algebraic points of bounded height and degree which is essentially best possible. Applications of this result will include a proof of a slightly strengthened version of the Philippon criterion, some new algebraic independence criteria, statements concerning metric transcendence theory on varieties of arbitrary dimension, and a rather accurate estimate for the number of algebraic points of bounded height and degree on quasi projective varieties over number fields.
dc.description42 pages
dc.identifierhttps://arxiv.org/abs/0711.3645
dc.identifierhttp://arxiv.org/abs/0711.3645
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142716
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11J13; 11J81; 11J85; 14G40; 14G17; 11J83; 14J20; 11G50; 14G25; 11G35
dc.titleDiophantine Approximation on varieties III: Approximation of non-algebraic points by algebraic points
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