J. Booher

collaborators

5 papers

math.NT2020

Recovering affine curves over finite fields from $L$ -functions

Jeremy Booher, José Felipe Voloch

Let $K$ be the function field of a curve over a finite field of odd characteristic. We investigate using $L$ -functions of Galois extensions of $K$ to effectively recover $K$ . When…

math.NT2020

Realizing Artin-Schreier covers of curves with minimal Newton polygons in positive characteristic

Jeremy Booher, Rachel Pries

Suppose $X$ is a smooth projective connected curve defined over an algebraically closed field $k$ of characteristic $p > 0$ and $B \subset X (k)$ is a finite, possibly empty, set of p…

math.NT2020

Recovering algebraic curves from L-functions of Hilbert class fields

Jeremy Booher, José Felipe Voloch

In this paper, we prove that a smooth hyperbolic projective curve over a finite field can be recovered from L-functions associated to the Hilbert class field of the curve and its c…

math.NT2018

Minimally Ramified Deformations when $ℓ \neq = p$

Jeremy Booher

Let $p$ and $ℓ$ be distinct primes, and $ρ$ be an orthogonal or symplectic representation of the absolute Galois group of an $ℓ$ -adic field over a finite field of characteris…

math.NT2018

a-Numbers of Curves in Artin-Schreier Covers

Jeremy Booher, Bryden Cais

Let $π : Y \to X$ be a branched $Z / p Z$ -cover of smooth, projective, geometrically connected curves over a perfect field of characteristic $p > 0$ . We investigate th…

Recovering affine curves over finite fields from L-functions

Realizing Artin-Schreier covers of curves with minimal Newton polygons in positive characteristic

Recovering algebraic curves from L-functions of Hilbert class fields

Minimally Ramified Deformations when ℓ=p

a-Numbers of Curves in Artin-Schreier Covers

Recovering affine curves over finite fields from $L$ -functions

Minimally Ramified Deformations when $ℓ \neq = p$