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arXiv · 1711.07169

A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds

Indranil Biswas·Vamsi Pritham Pingali
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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 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.

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Indranil Biswas, Vamsi Pritham Pingali. 2017-11-20. A characterization of finite vector bundles on Gauduchon astheno-Kahler manifolds. https://doi.org/10.46298/epiga.2018.volume2.4209

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