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Article Dans Une Revue Journal of Mathematical Sciences the University of Tokyo Année : 2015

On linearization of line bundles

Michel Brion

Résumé

We study the linearization of line bundles and the local structure of actions of connected linear algebraic groups, in the setting of seminormal varieties. We show that several classical results about normal varieties extend to that setting, if the Zariski topology is replaced with the \'etale topology.

Dates et versions

hal-01622745 , version 1 (24-10-2017)

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Michel Brion. On linearization of line bundles. Journal of Mathematical Sciences the University of Tokyo, 2015, 22 (1), pp.113-147. ⟨hal-01622745⟩

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