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.
