Andreotti-Mayer loci and the Schottky problem

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dc.creatorCiliberto, Ciro
dc.creatorvan der Geer, Gerard
dc.date2007-01-12
dc.date.accessioned2026-07-07T07:40:38Z
dc.date.available2026-07-07T07:40:38Z
dc.descriptionWe prove a lower bound for the codimension of the Andreotti-Mayer locus N_{g,1} and show that the lower bound is reached only for the hyperelliptic locus in genus 4 and the Jacobian locus in genus 5. In relation with the boundary of the Andreotti-Mayer loci we study subvarieties of principally polarized abelian varieties (B,Theta) parametrizing points b such that Theta and the translate Theta_b are tangentially degenerate along a variety of a given dimension.
dc.description46 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0701353
dc.identifierhttp://arxiv.org/abs/math/0701353
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121833
dc.subjectAlgebraic Geometry
dc.titleAndreotti-Mayer loci and the Schottky problem
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