Cycles on Siegel 3-folds and derivatives of Eisenstein series

dc.creatorKudla, S.
dc.creatorRapoport, M.
dc.date1997-11-20
dc.date.accessioned2026-07-07T01:51:19Z
dc.date.available2026-07-07T01:51:19Z
dc.descriptionWe consider the Siegel modular variety of genus 2 and a p-integral model of it for a good prime p>2, which parametrizes principally polarized abelian varieties of dimension two with a level structure. We consider cycles on this model which are characterized by the existence of certain special endomorphisms, and their intersections. We characterize that part of the intersection which consists of isolated points in characteristic p only. Furthermore, we relate the (naive) intersection multiplicities of the cycles at isolated points to special values of derivatives of certain Eisenstein series on the metaplectic group in 8 variables.
dc.descriptionAMSTeX
dc.identifierhttps://arxiv.org/abs/alg-geom/9711025
dc.identifierhttp://arxiv.org/abs/alg-geom/9711025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/268
dc.subjectAlgebraic Geometry
dc.subject11F27 (Primary) 11G10, 14G35 (Secondary)
dc.titleCycles on Siegel 3-folds and derivatives of Eisenstein series
dc.typetext

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