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math.NT2026
A quotient of the Bruhat-Tits building classifying maximal matrix orders over curves
Luis Arenas-Carmona, Claudio Bravo, Ignacio Saavedra
In a previous work, we defined a quotient graph of the Bruhat-Tits tree associated to the degree two special linear group over a local field whose vertex set is in correspondence w…
math.NT2026
On some Diophantine and Ergodic properties of the Schneider map over function fields
Matias Alvarado, Nicolás Arévalo-Hurtado, Claudio Bravo
We introduce and study continued fractions defined by Schneider-like maps over polynomial rings, where the maps are associated with a fixed polynomial of arbitrary degree. In parti…