Biswas, Indranil and Pingali, Vamsi Pritham - A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds

epiga:4209 - Épijournal de Géométrie Algébrique, September 21, 2018, Volume 2
A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds

Authors: Biswas, Indranil and Pingali, Vamsi Pritham

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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