3 papers
math.SG2026
New systems of log-canonical coordinates on character varieties of compact Riemann surfaces
Marco Bertola, Dmitry Korotkin, Jordi Pillet
We construct new sets of log-canonical coordinates on the character variety of compact Riemann surfaces. These are labelled by families of no…
nlin.SI2025
Rational Solutions of Painlevé V from Hankel Determinants and the Asymptotics of Their Pole Locations
Malik Balogoun, Marco Bertola
In this paper, we analyze the asymptotic behaviour of the poles of certain rational solutions of the fifth Painlevé equation. These solutions are constructed by relating the corre…
math.CV2025
The generalized Chebotarev problem in higher genus
Marco Bertola
We consider the extension to higher genus Riemann surfaces of the classical Chebotarev problem, with a view towards the development of the theory of Padé\ approximants on algebrai…