Non-commensurable hyperbolic manifolds with the same trace ring

IF 0.9 3区数学 Q2 MATHEMATICS

Documenta Mathematica Pub Date : 2020-07-01 DOI:10.4171/dm/828

Olivier Mila

引用次数: 0

Abstract

We prove that there are infinitely many pairwise non-commensurable hyperbolic $n$-manifolds that have the same ambient group and trace ring, for any $n \geq 3$. The manifolds can be chosen compact if $n \geq 4$.

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具有相同迹环的不可通约双曲流形

证明了对于任意$n \geq 3$，存在无穷多个具有相同环境群和迹环的双曲$n$ -流形。歧管可以选择紧凑的$n \geq 4$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Documenta Mathematica 数学-数学

CiteScore

1.60

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： DOCUMENTA MATHEMATICA is open to all mathematical fields und internationally oriented Documenta Mathematica publishes excellent and carefully refereed articles of general interest, which preferably should rely only on refereed sources and references.