K. Kramer

collaborators

2 papers

math.NT2026

Fields with no everywhere good abelian varieties

Armand Brumer, Kenneth Kramer

We extend methods of Fontaine, Abrashkin and Schoof to obtain criteria determining number fields K over which no non-zero abelian variety with everywhere good reduction exists. As…

math.NT2025

Prosaic Abelian Varieties Bad at One Prime

Armand Brumer, Kenneth Kramer

We say that an abelian variety $A_{/ Q}$ of dimension $g$ is {\em prosaic} if it is semistable, with good reduction at 2 and its points of order $2$ generate a $2$ -extension…