3 papers
math.GR2022
Quotients of the Bruhat-Tits tree by function field analogs of the Hecke congruence subgroups
Claudio Bravo
Let C be a smooth, projective and geometrically integral curve defined over a finite field F. For each closed point P of C, let R be the ring of functions that are regular outside…
math.NT2020
Branches in the Bruhat-Tits tree for local fields of even characteristic
Luis Arenas-Carmona, Claudio Bravo
We extend our previous computations for the relative positions of branches of quaternions to the case of local fields of even characteristic. This is a key step to understand the s…
math.NT2019
On genera containing non-split Eichler orders over function fields
Luis Arenas-Carmona, Claudio Bravo
Grothendieck-Birkhoff Theorem states that every finite dimensional vector bundle over the projective line P1 splits as the sum of one dimensional vector bundles. This can be rephra…