Statements (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:builtBy |
gptkb:Geometric_Invariant_Theory
Simpson's construction |
| gptkbp:dependsOn |
gptkb:Hilbert_polynomial
gptkb:Chern_classes stability condition base variety |
| gptkbp:example |
gptkb:Hilbert_scheme
moduli space of vector bundles on a curve |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:hasProperty |
may be non-reduced
may be projective may be reducible may be singular often quasi-projective |
| gptkbp:parameter |
gptkb:vector_bundles
coherent sheaves isomorphism classes of sheaves |
| gptkbp:relatedTo |
gptkb:Narasimhan–Seshadri_theorem
gptkb:Donaldson-Thomas_invariants gptkb:Fourier–Mukai_transform gptkb:Harder–Narasimhan_filtration gptkb:Mukai_vector gptkb:coarse_moduli_space gptkb:moduli_of_Higgs_bundles gptkb:moduli_space gptkb:sheaf derived category fine moduli space moduli functor universal family moduli of instantons moduli of principal bundles moduli of stable pairs moduli of stable sheaves Gieseker stability Bridgeland stability S-equivalence Uhlenbeck compactification moduli of framed sheaves moduli of parabolic bundles moduli of semistable sheaves moduli of simple sheaves moduli of torsion-free sheaves moduli stack of sheaves |
| gptkbp:studiedBy |
algebraic geometers
|
| gptkbp:usedIn |
gptkb:string_theory
enumerative geometry |
| gptkbp:bfsParent |
gptkb:Donaldson-Thomas_invariant
gptkb:Mukai_vector |
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
moduli space of sheaves
|