Andreotti-Mayer loci and the Schottky problem
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| Publication date | 2008 |
| Journal | Documenta Mathematica |
| Volume | Issue number | 13 |
| Pages (from-to) | 453-504 |
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| Abstract | 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. |
| Document type | Article |
| Note | Corrigendum published in: Documenta Mathematica,, Vol 19 (2014) p. 993-1001. |
| Language | English |
| Related publication | Corrigendum To: "Andreotti-Mayer Loci and the Schottky Problem", cf. Documenta Math. 13 (2008) 398--440 |
| Published at | https://www.math.uni-bielefeld.de/documenta/vol-13/14.html https://elibm.org/article/10000110 |
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