Andreotti-Mayer loci and the Schottky problem
Algebraic Geometry
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0701353,
title = {Andreotti-Mayer loci and the Schottky problem},
author = {Ciro Ciliberto and Gerard van der Geer},
journal= {arXiv preprint arXiv:math/0701353},
year = {2007}
}
Comments
46 pages, Latex