Pino Murillo, Plinio Guillel
(2017).
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On growth of systole along congruence coverings of Hilbert modular varieties.
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Algebraic and geometric topology, 17(5), pp. 2753-2762.
Geometry & Topology Publications
10.2140/agt.2017.17.2753

Text
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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 /3√n log(vol(MI))−c, where c is a constant independent of MI.

## Item Type: |
Journal Article (Original Article) |
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## Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |

## UniBE Contributor: |
Pino Murillo, Plinio Guillel |

## Subjects: |
500 Science > 510 Mathematics |

## ISSN: |
1472-2747 |

## Publisher: |
Geometry & Topology Publications |

## Language: |
English |

## Submitter: |
Olivier Bernard Mila |

## Date Deposited: |
17 Apr 2018 16:35 |

## Last Modified: |
26 Oct 2019 07:17 |

## Publisher DOI: |
10.2140/agt.2017.17.2753 |

## BORIS DOI: |
10.7892/boris.109152 |

## URI: |
https://boris.unibe.ch/id/eprint/109152 |