Algebraic and Arithmetic Geometry Seminar

# The universal affine extension of an abelian variety

## by Michel Brion (Université Grenoble Alpes)

Europe/Rome
Aula Magna (Dipartimento di Matematica)

### Aula Magna

#### Dipartimento di Matematica

Description

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 $A$.