On cubic torsors, biextensions and Severi-Brauer varieties over Abelian varieties
Abstract
We study the homogeneous irreducible Severi-Brauer varieties over an Abelian variety A. Such objects were classified by Brion, Bri. Here we interpret that result within the context of cubical structures and biextensions for certain m-torsors over finite subgroups of A. Our results can be seen as an instance of the theory developed by Breen, Breen:1983, and Moret-Bailly, Moret-Bailly.
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