Eine Bemerkung zu einer Arbeit von C. Meyer "Über imaginär-quadratische Körper mit der Klassenzahl 2".
Elliptic curves with complex multiplication and Galois module structure.
Elliptic Curves With Complex Multiplication and the Conjecture of Birch and Swinnerton-Dyer.
Elliptic functions and transcendence
Explicit bounds for split reductions of simple abelian varieties
Let be an absolutely simple abelian variety over a number field; we study whether the reductions tend to be simple, too. We show that if is a definite quaternion algebra, then the reduction is geometrically isogenous to the self-product of an absolutely simple abelian variety for in a set of positive density, while if is of Mumford type, then is simple for almost all . For a large class of abelian varieties with commutative absolute endomorphism ring, we give an explicit upper bound...