Bryden Cais

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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.NT2024

$p$ -torsion for unramified Artin--Schreier covers of curves

Bryden Cais, Douglas Ulmer

Let $Y \to X$ be an unramified Galois cover of curves over a perfect field $k$ of characteristic $p > 0$ with $Gal (Y / X) ≅ Z / p Z$ , and let $J_{X}$ and $J_{Y}$ b…

math.NT2024

Iwasawa theory of Frobenius-torsion class group schemes

Jeremy Booher, Bryden Cais, Joe Kramer-Miller +1

We establish a new Iwasawa theory for the kernel of Frobenius on Jacobians of curves in geometric $Z_{p}$ -towers over the projective line in characteristic $p$ , thereby prov…

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

p-torsion for unramified Artin--Schreier covers of curves

Iwasawa theory of Frobenius-torsion class group schemes

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

$p$ -torsion for unramified Artin--Schreier covers of curves