Algebraic and Arithmetic Geometry Seminar
# The universal affine extension of an abelian variety

→
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 $A$.