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Dipartimento di Matematica ''F. Casorati''

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A characterization of finite vector bundles on compact complex manifolds

Indranil Biswas (Tata Institute of Fundamental Research, Mumbai)

Aula Beltrami - Wednesday, November 20, 2019 h.16:00


Abstract. A vector bundle E on a projective variety X is called finite if it satisfies a nontrivial polynomial equation with integral coefficients. A theorem of Nori says that E is finite if and only if the pullback of E to some finite etale Galois covering of X is trivial. We prove the same statement when X is a compact complex manifold.

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