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 implies 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 admitting a Gauduchon astheno-Kahler metric.

Source : oai:arXiv.org:1711.07169

Volume: Volume 2

Published on: September 21, 2018

Submitted on: January 16, 2018

Keywords: Mathematics - Algebraic Geometry,Mathematics - Differential Geometry,32L10, 53C55, 14D21

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