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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…