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arXiv · 0705.0098

Gauss map on the theta divisor and Green's functions

Abstract

In an earlier paper we constructed a Cartier divisor on the theta divisor of a principally polarised abelian variety whose support is precisely the ramification locus of the Gauss map. In this note we discuss a Green's function associated to this locus. For jacobians we relate this Green's function to the canonical Green's function of the corresponding Riemann surface.

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BibTeXRIS

Robin de Jong. 2012-05-02. Gauss map on the theta divisor and Green's functions. https://arxiv.org/abs/0705.0098

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