Bryden Cais

collaborators

2 papers

math.NT2026

Minimal $a$ -numbers of Artin--Schreier covers of ordinary curves

Bryden Cais, Douglas Ulmer

Let $k$ be a perfect field of characteristic $p > 0$ , and let $d$ be a positive integer not divisible by $p$ . We define a non-empty Zariski open subset $U$ of the space of polynomial…

math.AG2026

Class field theory for function fields and finite abelian torsors

Bryden Cais, Shusuke Otabe

Let $U$ be a smooth and connected curve over an algebraically closed field of positive characteristic, with smooth compactification $X$ . We generalize classical Geometric Class Fie…

Minimal a-numbers of Artin--Schreier covers of ordinary curves

Class field theory for function fields and finite abelian torsors

Minimal $a$ -numbers of Artin--Schreier covers of ordinary curves