Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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The universal affine extension of an abelian variety

Michel Brion

created by daniele on 26 Mar 2019
modified on 31 May 2019

12 jun 2019 -- 15:00

Aula Magna, Dipartimento di Matematica, Pisa

Seminario di geometria algebrica e aritmetica di Pisa

Abstract.

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.

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