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Concept information

topology > differential topology > stable vector bundle

Preferred term

stable vector bundle  

Definition(s)

  • In mathematics, a stable vector bundle is a (holomorphic or algebraic) vector bundle that is stable in the sense of geometric invariant theory. Any holomorphic vector bundle may be built from stable ones using Harder–Narasimhan filtration. Stable bundles were defined by David Mumford in Mumford (1963) and later built upon by David Gieseker, Fedor Bogomolov, Thomas Bridgeland and many others.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Stable_vector_bundle)

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URI

http://data.loterre.fr/ark:/67375/PSR-DZJNCZ02-R

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