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arXiv:math/0701353 [math.AG]AbstractReferencesReviewsResources

Andreotti-Mayer loci and the Schottky problem

Ciro Ciliberto, Gerard van der Geer

Published 2007-01-12Version 1

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.

Comments: 46 pages, Latex
Categories: math.AG
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