R. Pries

activity

20042026

most citedThe integral monodromy of hyperelliptic and trielliptic curves

34 citations · 140 across the 46 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.NT2017

The de Rham cohomology of the Suzuki curves

Beth Malmskog, Rachel Pries, Colin Weir

For a natural number $m$ , let $S_{m} / F_{2}$ be the $m$ th Suzuki curve. We study the mod $2$ Dieudonné module of $S_{m}$ , which gives the equivalent informati…

math.NT2017

Non-ordinary curves with a Prym variety of low $p$ -rank

Turku Ozlum Celik, Yara Elias, Burcin Gunes +4

If $π : Y \to X$ is an unramified double cover of a smooth curve of genus $g$ , then the Prym variety $P_{π}$ is a principally polarized abelian variety of dimension $g - 1$ . When $X$ is…

math.DS2017★ 5 cited

Reduction of dynatomic curves

John R. Doyle, Holly Krieger, Andrew Obus +3

The dynatomic modular curves parametrize polynomial maps together with a point of period $n$ . It is known that the dynatomic curves $Y_{1} (n)$ are smooth and irreducible in character…

math.NT2017

Fully maximal and fully minimal abelian varieties

Valentijn Karemaker, Rachel Pries

We introduce and study a new way to catagorize supersingular abelian varieties defined over a finite field by classifying them as fully maximal, mixed, or fully minimal. The type o…

The de Rham cohomology of the Suzuki curves

Non-ordinary curves with a Prym variety of low p-rank

Reduction of dynatomic curves

Fully maximal and fully minimal abelian varieties

Non-ordinary curves with a Prym variety of low $p$ -rank