Classification of Stably Reflective Hyperbolic Z[√2]-Lattices of Rank 4

N. V. Bogachev

Research output: Contribution to journalArticlepeer-review

Abstract

Abstract: It is proved that the fundamental polyhedron of a Q[√2]-arithmetic reflection group in the three-dimensional Lobachevsky space has an edge such that the distance between its framing faces is sufficiently small. This result is used to classify the stably reflective hyperbolic Z[√2]-lattices of rank 4.

Original languageEnglish
Pages (from-to)241-244
Number of pages4
JournalDoklady Mathematics
Volume99
Issue number3
DOIs
Publication statusPublished - 1 May 2019
Externally publishedYes

Fingerprint

Dive into the research topics of 'Classification of Stably Reflective Hyperbolic Z[√2]-Lattices of Rank 4'. Together they form a unique fingerprint.

Cite this