- Andreotti-Mayer loci and the Schottky problem
- Documenta Mathematica
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
We prove a lower bound for the codimension of the Andreotti-Mayer locus N-g,N-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 intersection of the Andreotti-Mayer loci with the boundary of the moduli space A(g) we study subvarieties of principally polarized abelian varieties (B,Xi) parametrizing points b such that Xi and the translate Xi(b) are tangentially degenerate along a variety of a given dimension.
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