61 citations · 148 across the 12 of their papers we have counts for
8 papers · 1 filter
One-cusped complex hyperbolic 2-manifolds
Martin Deraux, Matthew Stover
This paper builds one-cusped complex hyperbolic -manifolds by an explicit geometric construction. Specifically, for each odd there is a smooth projective surface …
Mirror stabilizers for lattice complex hyperbolic triangle groups
Martin Deraux
For each lattice complex hyperbolic triangle group, we study the Fuchsian stabilizer of a reprentative of each group orbit of mirrors of complex reflections. We give explicit gener…
On the geometry of a Picard modular group
Martin Deraux
We study geometric properties of the action of the Picard modular group on the complex hyperbolic plane , where denotes th…
New non-arithmetic complex hyperbolic lattices II
Martin Deraux, John R. Parker, Julien Paupert
We describe a general procedure to produce fundamental domains for complex hyperbolic triangle groups, a class of groups that contains a representative of the commensurability clas…
On spherical CR uniformization of 3-manifolds
Martin Deraux
We consider the discrete representations of 3-manifold groups into that appear in the Falbel-Koseleff-Rouillier census, such that the peripheral subgroups have cyclic uni…
New non-arithmetic complex hyperbolic lattices
Martin Deraux, John R. Parker, Julien Paupert
We produce a family of new, non arithmetic lattices in PU(2,1). All previously known examples were commensurable with lattices constructed by Picard, Mostow and Deligne-Mostow, and…
Complex hyperbolic geometry of the figure eight knot
Martin Deraux, Elisha Falbel
We show that the figure eight knot complement admits a uniformizable spherical CR structure, i.e. it occurs as the manifold at infinity of a complex hyperbolic orbifold. The unifor…
Census of the complex hyperbolic sporadic triangle groups
Martin Deraux, John R. Parker, Julien Paupert
The goal of this paper is to give a conjectural census of complex hyperbolic sporadic groups. We prove that only finitely many of these sporadic groups are lattices. We also give a…