About: Stable vector bundle

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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 and later built upon by David Gieseker, Fedor Bogomolov, Thomas Bridgeland and many others.

Attributes	Values
rdf:type	anatomical structure
rdfs:label	Stabiles Vektorbündel (de) 안정 벡터 다발 (ko) Stable vector bundle (en)
rdfs:comment	In der Mathematik sind stabile und semistabile Vektorbündel ein Begriff der (in ihrer modernen auf Mumford zurückgehenden Formulierung). (de) 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 and later built upon by David Gieseker, Fedor Bogomolov, Thomas Bridgeland and many others. (en) 대수기하학과 미분기하학에서 안정 벡터 다발(安定vector다발, 영어: stable vector bundle)은 정칙 벡터 다발 가운데, 모듈라이 공간을 잘 정의할 수 있는 것들이다. (ko)
dcterms:subject	Algebraic geometry
Wikipage page ID	18909129 (xsd:integer)
Wikipage revision ID	1106577782 (xsd:integer)
Link from a Wikipage to another Wikipage	Cambridge University Press David Mumford Annals of Mathematics Holomorphic vector bundle Riemann surface David Gieseker Mathematics Pullback bundle Quotient of an abelian category Geometric invariant theory Connection (vector bundle) Projective scheme Shoshichi Kobayashi Simpson correspondence Fedor Bogomolov Fundamental group Mathematische Annalen Irreducible representation Algebraic curve Algebraic variety Finite field Bridgeland stability condition Nigel Hitchin Hilbert series and Hilbert polynomial Kobayashi–Hitchin correspondence Projective variety Hyperplane section Algebraic geometry Chern class Coherent sheaf Cohomology Torsion-free module Moduli space Filtration (mathematics) Narasimhan-Seshadri theorem Associated primes Morphism of schemes Unitary representation Vector bundle Euler characteristic Euler sequence Quot scheme Stable principal bundle Flat vector bundle Narasimhan–Seshadri theorem Algebraic vector bundle Smooth scheme Singular point of an algebraic variety S-equivalence Tensor product bundle Springer-Verlag Ample Associated graded module Serre subcategory Serre twist Artin stack Quasiprojective Hermitian–Einstein connection Thomas Bridgeland
sameAs	Stable vector bundle Stable vector bundle Stable vector bundle Stable vector bundle Stable vector bundle
dbp:wikiPageUsesTemplate	dbt:= dbt:Citation dbt:Harvtxt dbt:Main dbt:Main_article dbt:Reflist dbt:Sup_sub dbt:Larger dbt:Algebraic_curves_navbox
has abstract	In der Mathematik sind stabile und semistabile Vektorbündel ein Begriff der (in ihrer modernen auf Mumford zurückgehenden Formulierung). (de) 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 and later built upon by David Gieseker, Fedor Bogomolov, Thomas Bridgeland and many others. (en) 대수기하학과 미분기하학에서 안정 벡터 다발(安定vector다발, 영어: stable vector bundle)은 정칙 벡터 다발 가운데, 모듈라이 공간을 잘 정의할 수 있는 것들이다. (ko)
gold:hypernym	Bundle
prov:wasDerivedFrom	wikipedia-en:Stable_vector_bundle?oldid=1106577782&ns=0
page length (characters) of wiki page	14076 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Stable_vector_bundle
is Link from a Wikipage to another Wikipage of	Kähler–Einstein metric Gauge theory (mathematics) Quillen metric Geometric invariant theory Glossary of algebraic geometry M. S. Narasimhan C. S. Seshadri K-stability Lange's conjecture Algebraic variety

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