Andreotti-Mayer loci and the Schottky problem

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We 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.
46 pages, Latex

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/121833

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701353
 http://arxiv.org/abs/math/0701353

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arXiv