On a characterization of finite vector bundles as vector bundles admitting a flat connection with finite monodromy group

DOI10.1090/S0002-9939-00-05478-2zbMath0977.53023OpenAlexW1517112566MaRDI QIDQ4508177

Yogish I. Holla, Georg Schumacher, Indranil Biswas

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05478-2

zbMATH Keywords

monodromyKähler manifoldmonodromy groupholomorphic vector bundleflat connectionflat vector bundle

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Compact Kähler manifolds: generalizations, classification (32J27) Holomorphic bundles and generalizations (32L05)

Related Items (2)

Étale triviality of finite vector bundles over compact complex manifolds ⋮ Noncommutative tori and the Riemann-Hilbert correspondence

Cites Work

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• On the Krull-Schmidt theorem with application to sheaves
• INFINITESIMAL DEFORMATION OF PARABOLIC HIGGS SHEAVES
• On the existence of hermitian-yang-mills connections in stable vector bundles

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