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Holomorphic bundles trivializable by proper surjective holomorphic map

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 نشر من قبل Sorin Dumitrescu
 تاريخ النشر 2020
  مجال البحث
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Given a compact complex manifold $M$, we investigate the holomorphic vector bundles $E$ on $M$ such that $varphi^* E$ is trivial for some surjective holomorphic map $varphi$, to $M$, from some compact complex manifold. We prove that these are exactly those holomorphic vector bundles that admit a flat holomorphic connection with finite monodromy homomorphism. A similar result is proved for holomorphic principal $G$-bundles, where $G$ is a connected reductive complex affine algebraic group.



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