Statements (51)
| 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 |
| https://www.w3.org/2000/01/rdf-schema#label |
moduli space of sheaves
|
| 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 moduli space 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_invariants
|
| gptkbp:bfsLayer |
6
|