2 citations · 4 across the 7 of their papers we have counts for
8 papers
Determining surfaces by short curves and applications
Cayo Dória, Nara Paiva
The goal of this work is to give new quantitative results about the distribution of semi-arithmetic hyperbolic surfaces in the moduli space of closed hyperbolic surfaces. We show t…
Geometry and arithmetic of semi-arithmetic Fuchsian groups
Mikhail Belolipetsky, Gregory Cosac, Cayo Dória +1
Semi-arithmetic Fuchsian groups is a wide class of discrete groups of isometries of the hyperbolic plane which includes arithmetic Fuchsian groups, hyperbolic triangle groups, grou…
Hyperbolic manifolds with a large number of systoles
Cayo Dória, Emanoel M. S. Freire, Plinio G. P. Murillo
In this article, for any we construct a sequence of compact hyperbolic -manifolds with number of systoles at least as $\mathrm{vol}(M_i)^{1+\frac{1}{3n(n+1)}…
Closed geodesics on semi-arithmetic Riemann surfaces
Gregory Cosac, Cayo Dória
In this article, we study geometric aspects of semi-arithmetic Riemann surfaces by means of number theory and hyperbolic geometry. First, we show the existence of infinitely many s…
Hyperbolic 3-manifolds with large kissing number
Cayo Dória, Plinio G. P. Murillo
In this article we construct a sequence of non compact finite volume hyperbolic -manifolds whose kissing number grows at least as …
Height estimates for Bianchi groups
Cayo Dória, Gisele Teixeira Paula
We study the action of Bianchi groups on the hyperbolic -space . Given the standard fundamental domain for this action and any point in we show tha…
Free subgroups of -manifold groups
Mikhail Belolipetsky, Cayo Dória
We show that any closed hyperbolic -manifold has a co-final tower of covers of degrees such that any subgroup of generated by elements is…
Asymptotic properties of the set of systoles of arithmetic Riemann surfaces
Cayo Dória
The purpose this article is to try to understand the mysterious coincidence between the asymptotic behavior of the volumes of the Moduli Space of closed hyperbolic surfaces of genu…