The loci of abelian varieties with points of high multiplicity on the theta divisor

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dc.creatorGrushevsky, Samuel
dc.creatorManni, Riccardo Salvati
dc.date2008-05-27
dc.date.accessioned2026-07-07T09:41:08Z
dc.date.available2026-07-07T09:41:08Z
dc.descriptionWe study the loci of principally polarized abelian varieties with points of high multiplicity on the theta divisor. Using the heat equation and degeneration techniques, we relate these loci and their closures to each other, as well as to the singular set of the universal theta divisor. We obtain bounds on the dimensions of these loci and relations among their dimensions, and make further conjectures about their structure.
dc.identifierhttps://arxiv.org/abs/0805.4148
dc.identifierhttp://arxiv.org/abs/0805.4148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161719
dc.subjectAlgebraic Geometry
dc.titleThe loci of abelian varieties with points of high multiplicity on the theta divisor
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