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Stable vector bundle

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…

Motivation, Kobayashi–Hitchin correspondence & Generalizations

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Overview

Motivation

Stable vector bundles over curves

Stable vector bundles in higher dimensions

Slope stability

Harder-Narasimhan filtration

Kobayashi–Hitchin correspondence

Generalizations

Literature

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Stable vector bundle

Nodes84
Edges83
Triples86
Avg. degree1.98
Density0.02381
Components1

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Stable vector bundle

Top relations

related to Literature · 76
Stable vector bundle → Algebraic, An, Annals, Anti, Atiyah, Berlin, BF01357141, Bibcode, Bott, Business Media, Cambridge Mathematical Library, Cambridge University Press, Complex, Congr, CS1, Daniel, David, Djursholm, Ergebnisse, Fogarty
related to Harder-Narasimhan filtration · 10
Stable vector bundle → Ei, Fi, Harder, Harder-Narasimhan, Let, Narasimhan, S-equivalent, Then, This, Two

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Important terminology

bundles vector stable bundle displaystyle projective stability moduli proper mr filtration mumford algebraic two sheaf called hilbert coherent may narasimhan

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Stable vector bundlerelated to Harder-Narasimhan filtrationLet0.60section
Stable vector bundlerelated to Harder-Narasimhan filtrationThen0.60section
Stable vector bundlerelated to Harder-Narasimhan filtrationFi0.60section
Stable vector bundlerelated to Harder-Narasimhan filtrationEi0.60section
Stable vector bundlerelated to Harder-Narasimhan filtrationThis0.60section
Stable vector bundlerelated to Harder-Narasimhan filtrationHarder0.60section
Stable vector bundlerelated to Harder-Narasimhan filtrationNarasimhan0.60section
Stable vector bundlerelated to Harder-Narasimhan filtrationHarder-Narasimhan0.60section
Stable vector bundlerelated to Harder-Narasimhan filtrationTwo0.60section
Stable vector bundlerelated to Harder-Narasimhan filtrationS-equivalent0.60section
Stable vector bundlerelated to LiteratureLock-green0.60section
Stable vector bundlerelated to LiteratureLock-gray-alt-20.60section

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