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 TeX Embedding failed! 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 TeX Embedding failed!, the set of abelian varieties over TeX Embedding failed! with good reduction everywhere.