Algebraic and Arithmetic Geometry Seminar

The universal affine extension of an abelian variety

by Michel Brion (Université Grenoble Alpes)

Aula Magna (Dipartimento di Matematica)

Aula Magna

Dipartimento di Matematica


Every abelian variety $A$ over a field $k$ admits a universal extension by an affine $k$-group scheme. The talk will present a construction of this universal affine extension (first due to Serre when $k$ is algebraically closed of characteristic zero) and discuss its structure, with applications to the category of homogeneous vector bundles over $A$.