Quasi-arithmetic hyperbolic Coxeter prisms

Q: What type of study is this?

This is a Quasi-Experimental study.

Nikolay Bogachev; Khusrav Yorov

doi:10.1090/proc/17352

September 24, 2025Proceedings of the American Mathematical Society

Quasi-arithmetic hyperbolic Coxeter prisms

View at Publisher

Ask AI

Bookmark

Share

Key Points

The study identifies precisely which hyperbolic Coxeter prisms are properly quasi-arithmetic or arithmetic.
Key findings include observations on commensurability classes and systoles related to the associated orbifolds.
This work builds on prior classification efforts from 1974, refining understanding of geometric properties.
Implications of these results extend to the classification and understanding of hyperbolic geometric structures.

Implication

This analysis determines which simplicial straight hyperbolic Coxeter prisms are quasi-arithmetic, highlighting commensurability classes and systoles.

Abstract

In 1974, Kaplinskaja classified all simplicial straight hyperbolic Coxeter prisms. In this paper, we determine precisely which of these prisms are properly quasi-arithmetic or arithmetic. We also present some observations regarding commensurability classes and systoles of the associated orbifolds.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Bogachev et al. (2025) studied this question.

synapsesocial.com/papers/68d6e1978b2b6861e4c40334 https://doi.org/10.1090/proc/17352

View at Publisher

Ask AI

Bookmark

Share

Quasi-arithmetic hyperbolic Coxeter prisms

Key Points

Implication

Abstract

Discussion

Cite This Study

Quasi-arithmetic hyperbolic Coxeter prisms

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading