9 citations · 28 across the 13 of their papers we have counts for
14 papers
Unimodular Zeros of Selmer's Harmonic Trinomials
Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete
Let be positive integers and let . In this note, we classify the unimodular zeros of the harmonic trinomial $H_{\varepsilon,δ}:\mathbb{C}\to \mathbb…
Asymptotic flag geometry of complex Kleinian groups in
Waldemar Barrera, Angel Cano, Juan Pablo Navarrete +1
We organize several natural notions of limit set for discrete subgroups of around a common asymptotic structure encoded by pseudo--projective degenerat…
On the Parameter Spaces of Harmonic Trinomial Equations
Waldemar Barrera, Lucia Campa, Juan Pablo Navarrete
We analyze the parameter space of harmonic trinomial equations of the form , where are coprime and . Using version…
Elementary groups in $\PSL(3,\C)$
Waldemar Barrera, Angel Cano, Juan Pablo Navarrete +1
In this paper, we give a classification of the subgroups of that act on in such a way that their Kulkarni limit set has fi…
Egerváry's theorems for harmonic trinomials
Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete
In this manuscript, we study the arrangements of the roots in the complex plane for the lacunary harmonic polynomials called harmonic trinomials. We provide necessary and sufficien…
The stability region for Schur stable trinomials with general complex coefficients
Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete
In this paper, we characterize the stability region for trinomials of the form , , where , and are non-zero complex numbers and $n…
Smooth Knot Limit Sets of the Complex Hyperbolic Plane
Waldemar Barrera, Rene Garcia, Juan Pablo Navarrete
It is shown that if a regular knot of class C2 is embedded in the boundary of the complex hyperbolic plane as the limit set of a discrete subgroup of PU(2, 1) then it is either a c…
On the number of roots for harmonic trinomials
Gerardo Barrera, Waldemar Barrera, Juan Pablo Navarrete
In this manuscript we study the counting problem for harmonic trinomials of the form , where , , and , and are non-zero com…
A Family of Complex Kleinian Split Solvable Groups
Waldemar Barrera, Rene Garcia, Juan Pablo Navarrete
It is shown that lattices of a family of split solvable subgroups of PSL(N + 1, C) are complex Kleinian using techniques of Lie groups and dynamical systems, also that there exists…
Discrete parabolic groups in
Waldemar Barrera, Angel Cano, Juan Pablo Navarrete +1
We study and classify the purely parabolic discrete subgroups of . This includes all discrete subgroups of the Heisenberg group . While for $…
On the number of lines in the limit set for discrete subgroups of
Waldemar Barrera, A. Cano, Juan Pablo Navarrete
Given a discret subgroup $Γ\subset PSL(3,\C)$, we determine the number of complex lines and complex lines in general position lying in the complement of: maximal regions on which $…
A 2-dimensional Complex Kleinian Group With Infinite Lines in the Limit Set Lying in General Position
Waldemar Barrera, Angel Cano, Juan Pablo Navarrete
In this article we present an example of a discrete group $Σ_\C\subset PSL(3,\Bbb{R})$ whose action on does no have invariant projective subspaces, is not conjugated to compl…
The limit set of discrete subgroups of $PSL(3,\C)$
Waldemar Barrera, Angel Cano, Juan Pablo Navarrete
If is a discrete subgroup of , it is determined the equicontinuity region of the natural action of on . It is also proved that th…
Subroups of with four lines in general position in its Limit Set
Waldemar Barrera, Angel Cano, Juan Pablo Navarrete
In this article we provide an algebraic characterization of those groups of whose limit set in the Kulkarni sense has, exactly, four lines in general position. Als…