Gauss map on the theta divisor and Green's functions
Algebraic Geometry
2012-05-03 v2
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.
Keywords
Cite
@article{arxiv.0705.0098,
title = {Gauss map on the theta divisor and Green's functions},
author = {Robin de Jong},
journal= {arXiv preprint arXiv:0705.0098},
year = {2012}
}
Comments
10 pages, in: B. Edixhoven, G. van der Geer and B. Moonen (eds.), Modular Forms on Schiermonnikoog. Cambridge University Press 2008