Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Shimura curves contained in the moduli space of Jacobians in low genus

Samuel Grushevsky

created by risa on 12 Mar 2015

19 mar 2015 -- 14:30

Aula 211, Dip. Matematica, Università "Roma Tre", Roma


We construct infinitely many Shimura curves (1-dimensional special subvarieties, which are in particularly totally geodesic) of the moduli space of abelian varieties, contained in the locus of hyperelliptic Jacobians in genus 3, and in the locus of Jacobians in genus 4 - only finitely many such examples were previously known. Joint work with Martin Moeller.

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