Restriction of sections of abelian schemes

dc.creatorFakhruddin, Najmuddin
dc.date2003-10-25
dc.date.accessioned2026-07-07T05:02:15Z
dc.date.available2026-07-07T05:02:15Z
dc.descriptionWe prove the following result: Let B be a smooth, irreducible, quasi-projective variety over the complex numbers and assume that B has a projective compactification \bar{B} such that \bar{B} - B is of codimension at least two in \bar{B}. Then there exists a family of smooth ireducible curves {C_q}_{q \in Q} in B parametrised by an irreducible variety Q such that if p: A \to B is an abelian scheme and q \in Q is a generic point, then the restriction map on sections A(B) \to A(C_q) is an isomorphism. This answers, in a special case, a question of Graber, Harris, Mazur and Starr.
dc.identifierhttps://arxiv.org/abs/math/0310405
dc.identifierhttp://arxiv.org/abs/math/0310405
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68982
dc.subjectAlgebraic Geometry
dc.titleRestriction of sections of abelian schemes
dc.typetext

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