Abelian varieties with good reduction everywhere

Speaker: 
Rene Schoof
Date: 
Thu, May 25, 2017
Location: 
PIMS, University of Calgary
Conference: 
PIMS CRG in Explicit Methods for Abelian Varieties
Abstract: 

Over $ Q $ there do not exist any non-zero abelian varieties with good reduction everywhere. However, over all but six real quadratic fields they actually do exist. In this talk we determine, for certain small real quadratic fields $ F $, the set of abelian varieties over $ F $ with good reduction everywhere.