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

Subject: Mathematics

Class: Scientific

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.