Periode und Index eines prinzipal-homogenen Raumes über gewissen Abelschen Varietäten.
Poncelet 5-gons and abelian surfaces.
Primitive Line Bundles on Abelian Threefolds.
Prym Varieties and the Geodesic Flow on SO(n).
Pseudo-abelian varieties
Chevalley’s theorem states that every smooth connected algebraic group over a perfect field is an extension of an abelian variety by a smooth connected affine group. That fails when the base field is not perfect. We define a pseudo-abelian variety over an arbitrary field to be a smooth connected -group in which every smooth connected affine normal -subgroup is trivial. This gives a new point of view on the classification of algebraic groups: every smooth connected group over a field is an extension...