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Vector bundles over normal varieties trivialized by finite morphisms

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Let Y be a normal and projective variety over an algebraically closed field k and V a vector bundle over Y. We prove that if there exist a k-scheme X and a finite surjective morphism g : XY that trivializes V then V is essentially finite.

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Correspondence to Marco Antei.

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Antei, M., Mehta, V.B. Vector bundles over normal varieties trivialized by finite morphisms. Arch. Math. 97, 523–527 (2011). https://doi.org/10.1007/s00013-011-0327-1

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  • DOI: https://doi.org/10.1007/s00013-011-0327-1

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