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
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.