From geometry to arithmetic of compact hyperbolic Coxeter polytopes
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Publication:6337460
DOI10.1007/S00031-022-09747-3arXiv2003.11944WikidataQ115609405 ScholiaQ115609405MaRDI QIDQ6337460
Author name not available (Why is that?)
Publication date: 24 March 2020
Abstract: We establish some geometric constraints on compact Coxeter polytopes in hyperbolic spaces and show that these constraints can be a very useful tool for the classification problem of reflective anisotropic Lorentzian lattices and cocompact arithmetic hyperbolic reflection groups.
Hyperbolic and elliptic geometries (general) and generalizations (51M10) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Reflection groups, reflection geometries (51F15)
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