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

epiga:4209 - Épijournal de Géométrie Algébrique, September 21, 2018, Volume 2 - https://doi.org/10.46298/epiga.2018.volume2.4209
A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds

Authors: Indranil Biswas ; Vamsi Pritham Pingali

    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.


    Volume: Volume 2
    Published on: September 21, 2018
    Accepted on: September 14, 2018
    Submitted on: January 16, 2018
    Keywords: Mathematics - Algebraic Geometry,Mathematics - Differential Geometry,32L10, 53C55, 14D21

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