Abelian varieties with good reduction everywhere

Rene Schoof

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.

https://mathtube.org/lecture/video/abelian-varieties-good-reduction-everywhere

Mathtube- PIMS CRG in Explicit Methods for Abelian Varieties