1 citations · 1 across the 10 of their papers we have counts for
12 papers
Stratification and realization of singularity data on the Loch Ness monster
Nate Fisher, Camilo Ramírez Maluendas
The classical theory of compact translation surfaces is organized through the stratification of moduli spaces according to the orders of the zeros of the associated Abelian differe…
On the Cauchy Integral Theorem and Polish spaces
Cristian López Morales, Camilo Ramírez Maluendas
We prove that if a function is continuous in an open subset and analytic in , where is a Polish space having characteristic syst…
On the fiber product over infinite-genus Riemann surfaces
John A. Arredondo, Saúl Quispe, Camilo Ramírez Maluendas
Considering non-constant holomorphic maps , , between non-compact Riemann surfaces for which it is associated its fiber product $S_{1}\times_{(β_…
On Veech groups of infinite superelliptic curves
Camilo Ramírez Maluendas
We study infinite superelliptic curves as translation surfaces and explore their Veech groups. These objects are branched covering of the complex plane with branching over infinite…
Dessins d'enfants and some holomorphic structures on the Loch Ness Monster
Yasmina Atarihuana, Juan García, Rubén A. Hidalgo +2
The classical theory of dessin d'enfants, which are bipartite maps on compact orientable surfaces, are combinatorial objects used to study branched covers between compact Riemann s…
On the Ends of groups and the Veech groups of infinite-genus surfaces
Camilo Ramírez Maluendas
In this paper, we study the PSV construction, which provides a step by step method for obtaining tame translation surfaces with a suitable Veech group. In addition, we modify sligh…
A brief tour through the history of complex numbers
John Alexander Arredondo García, Camilo Ramírez Maluendas
In this paper, we chronologically recount several situations that have contributed to the development and formalization of the objects known as imaginary or complex numbers. We wil…
Symmetry Type Graphs on 4-Orbit maps
John A. Arredondo, Camilo Ramírez Maluendas, Luz Edith Santos Guerrero
It is well known that there exist twenty two symmetry type graphs associated to 4-orbit maps. For this ones we give the feasible values taken by the degree of the vertices and the…
On Infinitely generated Fuchsian groups of some infinite genus surfaces
John A. Arredondo, Camilo Ramírez Maluendas
In this paper, for a non compact and orientable surface been either: the Infinite Loch Ness monster, the Cantor tree and the Blooming Cantor tree, we construct explicitly an in…
Geometric Schotkky groups and non compact hyperbolic surface with infinite genus
John A. Arredondo, Camilo Ramírez Maluendas
The topological type of a non-compact Riemann surface is determined by its ends space and the ends having infinite genus. In this paper for a non-compact Riemann Surface …
On the Infinite Loch Ness monster
John A. Arredondo, Camilo Ramírez Maluendas
In this paper we present in a topological way the construction of the orientable surface with only one end and infinite genus, called \emph{The Infinite Loch Ness Monster}. In fact…
Veech groups of infinite genus surfaces
Camilo Ramirez Maluendas, Ferran Valdez
We show that every countable subgroup without contracting elements is the Veech group of a tame translation surface of infinite genus, for infinitely…