A Geometric characterization of Arithmetic Varieties

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dc.creatorParanjape, Kapil Hari
dc.date2001-11-08
dc.date2002-04-08
dc.date.accessioned2026-07-07T04:44:27Z
dc.date.available2026-07-07T04:44:27Z
dc.descriptionA result of Belyi can be stated as follows. Every curve defined over a number field can be expressed as a cover of the projective line with branch locus contained in a rigid divisor. We define the notion of geometrically rigid divisors in surfaces and then show that every surface defined over a number field can be expressed as a cover of the projective plane with branch locus contained in a geometrically rigid divisor in the plane. The main result is the characterisation of arithmetically defined divisors in the plane as geometrically rigid divisors in the plane.
dc.description8 Pages, AMSLaTeX
dc.identifierhttps://arxiv.org/abs/math/0111091
dc.identifierhttp://arxiv.org/abs/math/0111091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62593
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.subject14J20; 11G35; 51A25
dc.titleA Geometric characterization of Arithmetic Varieties
dc.typetext

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