Rachel Newton

activity

20162019

collaborators

4 papers

math.NT2019

Explicit methods for the Hasse norm principle and applications to $A_{n}$ and $S_{n}$ extensions

André Macedo, Rachel Newton

Let $K / k$ be an extension of number fields. We describe theoretical results and computational methods for calculating the obstruction to the Hasse norm principle for $K / k$ and the…

math.NT2018

Arithmetic of rational points and zero-cycles on Kummer varieties

Francesca Balestrieri, Rachel Newton

Let $k$ be a number field, let $X$ be a Kummer variety over $k$ , and let $δ$ be an odd integer. In the spirit of a result by Yongqi Liang, we relate the arithmetic of rational poin…

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.GT2016

Counting curve types

Tarik Aougab, Juan Souto

Let $S$ be a closed orientable hyperbolic surface, and let $O (K, S)$ denote the number of mapping class group orbits of curves on $S$ with at most $K$ self-intersections.…

Explicit methods for the Hasse norm principle and applications to An​ and Sn​ extensions

Arithmetic of rational points and zero-cycles on Kummer varieties

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

Counting curve types

Explicit methods for the Hasse norm principle and applications to $A_{n}$ and $S_{n}$ extensions

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