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 language | English (US) |
|---|---|
| Pages (from-to) | 681-771 |
| Number of pages | 91 |
| Journal | Inventiones Mathematicae |
| Volume | 203 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 1 2016 |
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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 journal › Article
}
TY - JOUR
T1 - New non-arithmetic complex hyperbolic lattices
AU - Deraux, Martin
AU - Parker, John R.
AU - Paupert, Julien
PY - 2016/3/1
Y1 - 2016/3/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84958877864&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84958877864&partnerID=8YFLogxK
U2 - 10.1007/s00222-015-0600-1
DO - 10.1007/s00222-015-0600-1
M3 - Article
VL - 203
SP - 681
EP - 771
JO - Inventiones Mathematicae
JF - Inventiones Mathematicae
SN - 0020-9910
IS - 3
ER -