Castelnuovo theory and the geometric Schottky problem

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dc.creatorPareschi, Giuseppe
dc.creatorPopa, Mihnea
dc.date2004-07-22
dc.date2007-06-26
dc.date.accessioned2026-07-07T08:12:18Z
dc.date.available2026-07-07T08:12:18Z
dc.descriptionWe prove and conjecture results which show that Castelnuovo theory in projective space has a close analogue for abelian varieties. This is related to the geometric Schottky problem: our main result is that a principally polarized abelian variety satisfies a precise version of the Castelnuovo Lemma if and only if it is a Jacobian. This result has a surprising connection to the Trisecant Conjecture. We also give a genus bound for curves in abelian varieties.
dc.description17 pages; final version, to appear in J. Reine Angew. Math.; no significant changes, only some small corrections and additions with respect to the previous version
dc.identifierhttps://arxiv.org/abs/math/0407370
dc.identifierhttp://arxiv.org/abs/math/0407370
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132409
dc.subjectAlgebraic Geometry
dc.subject14H42; 14H40
dc.titleCastelnuovo theory and the geometric Schottky problem
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