Douglas Ulmer

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20012026

most citedGeometric non-vanishing

15 citations · 57 across the 25 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.NT2013★ 1 cited

Conductors of l-adic representations

Douglas Ulmer

We give a new formula for the Artin conductor of an $ℓ$ -adic representation of the Weil group of a local field of residue characteristic $p \neq = ℓ$ .

math.NT2013

Explicit points on the Legendre curve II

Ricardo Conceição, Chris Hall, Douglas Ulmer

Let $E$ be the elliptic curve $y^{2} = x (x + 1) (x + t)$ over the field $\Fp(t)$ where $p$ is an odd prime. We study the arithmetic of $E$ over extensions $\Fq(t^{1/d})$ where $q$ is a powe…

math.NT2013

Arithmetic of abelian varieties in Artin-Schreier extensions

Rachel Pries, Douglas Ulmer

We study abelian varieties defined over function fields of curves in positive characteristic $p$ , focusing on their arithmetic within the system of Artin-Schreier extensions. First…