Geodesic
On growth of systole along congruence coverings of Hilbert modular varieties
Murillo, Plinio1
1 Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil
Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 2753-2762

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We study how the systole of principal congruence coverings of a Hilbert modular variety grows when the degree of the covering goes to infinity. We prove that, given a Hilbert modular variety Mk of real dimension 2n defined over a number field k, the sequence of principal congruence coverings MI eventually satisfies

where c is a constant independent of MI.

DOI : 10.2140/agt.2017.17.2753
Classification : 22E40, 11R80, 53C22
Keywords: systole, arithmetic lattice, Hilbert modular varieties, congruence subgroups

Murillo, Plinio 1

1 Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil 
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Murillo, Plinio. On growth of systole along congruence coverings of Hilbert modular varieties. Algebraic and Geometric Topology, Tome 17 (2017) no. 5, pp. 2753-2762. doi: 10.2140/agt.2017.17.2753

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