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math.GT2024
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…
math.GT2020
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…