New non-arithmetic complex hyperbolic lattices

Martin Deraux, John R. Parker, Julien Paupert

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

We produce a family of new, non-arithmetic lattices in (Formula presented.). All previously known examples were commensurable with lattices constructed by Picard, Mostow, and Deligne–Mostow, and fell into nine commensurability classes. Our groups produce five new distinct commensurability classes. Most of the techniques are completely general, and provide efficient geometric and computational tools for constructing fundamental domains for discrete groups acting on the complex hyperbolic plane.

Original languageEnglish (US)
Pages (from-to)681-771
Number of pages91
JournalInventiones Mathematicae
Volume203
Issue number3
DOIs
StatePublished - Mar 1 2016

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Fundamental Domain
Hyperbolic Plane
Discrete Group
Argand diagram
Distinct
Class
Family

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

New non-arithmetic complex hyperbolic lattices. / Deraux, Martin; Parker, John R.; Paupert, Julien.

In: Inventiones Mathematicae, Vol. 203, No. 3, 01.03.2016, p. 681-771.

Research output: Contribution to journalArticle

Deraux, Martin ; Parker, John R. ; Paupert, Julien. / New non-arithmetic complex hyperbolic lattices. In: Inventiones Mathematicae. 2016 ; Vol. 203, No. 3. pp. 681-771.
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