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2017 On growth of systole along congruence coverings of Hilbert modular varieties
Plinio Murillo
Algebr. Geom. Topol. 17(5): 2753-2762 (2017). DOI: 10.2140/agt.2017.17.2753

Abstract

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

sys1(MI) 4 3nlog(vol(MI)) c,

where c is a constant independent of MI.

Citation

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Plinio Murillo. "On growth of systole along congruence coverings of Hilbert modular varieties." Algebr. Geom. Topol. 17 (5) 2753 - 2762, 2017. https://doi.org/10.2140/agt.2017.17.2753

Information

Received: 9 June 2016; Revised: 6 April 2017; Accepted: 10 May 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 06791382
MathSciNet: MR3704241
Digital Object Identifier: 10.2140/agt.2017.17.2753

Subjects:
Primary: 11R80, 22E40
Secondary: 53C22

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.17 • No. 5 • 2017
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