Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Schottky implies Poincaré: an explicit solution to the weak Schottky problem

Riccardo Salvati Manni

created by risa on 13 Oct 2017

18 oct 2017 -- 14:00

Aula di Consiglio, Dip.Matematica, Università "La Sapienza", Roma

Abstract.

For any genus g, we write down a collection of polynomials in genus g theta constants. They arise by applying a specific Schottky-Jung proportionality to an explicit collection of quartic identities for genus g-1 theta constants. They imply the so called Poincaré relations, and their common zero locus contains the locus of Jacobians of genus g curves as an irreducible compone

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