Nonabelian holomorphic Lie algebroid extensions

Abstract :

We classify nonabelian extensions of Lie algebroids in the holomorphic category. Moreover we study a spectral sequence associated to any such extension. This spectral sequence generalizes the Hochschild–Serre spectral sequence for Lie algebras to the holomorphic Lie algebroid setting. As an application, we show that the hypercohomology of the Atiyah algebroid of a line bundle has a natural Hodge structure.

Type de document :
Article dans une revue
International Journal of Mathematics, 2015, 26 (5), 〈10.1142/S0129167X15500408〉
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https://hal.archives-ouvertes.fr/hal-01392119
Contributeur : Okina Université d'Angers <>
Soumis le : vendredi 4 novembre 2016 - 10:13:44
Dernière modification le : vendredi 13 juillet 2018 - 14:34:04

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Ugo Bruzzo, Igor Mencattini, Vladimir Roubtsov, Pietro Tortella. Nonabelian holomorphic Lie algebroid extensions. International Journal of Mathematics, 2015, 26 (5), 〈10.1142/S0129167X15500408〉. 〈hal-01392119〉

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