Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
gptkb:vector_bundles
algebraic varieties complex structures curves sheaves |
| gptkbp:concerns |
classification problems
|
| gptkbp:field |
gptkb:algebraic_geometry
gptkb:mathematics |
| https://www.w3.org/2000/01/rdf-schema#label |
Moduli theory
|
| gptkbp:notableFor |
gptkb:moduli_of_Calabi–Yau_manifolds
gptkb:moduli_of_Higgs_bundles gptkb:moduli_of_K3_surfaces moduli of vector bundles classification of algebraic curves moduli of G-bundles moduli of abelian varieties moduli of Riemann surfaces moduli of complex structures moduli of elliptic curves moduli of flat connections moduli of instantons moduli of polarized varieties moduli of principal bundles moduli of sheaves moduli of stable curves moduli of stable maps moduli of stable objects in Fukaya categories moduli of stable objects in derived categories moduli of stable pairs moduli of stable sheaves moduli of stable vector bundles moduli of stable objects in Bridgeland stability conditions |
| gptkbp:notableIdea |
gptkb:coarse_moduli_space
moduli space fine moduli space moduli functor |
| gptkbp:notablePerson |
gptkb:Jean-Pierre_Serre
gptkb:Alexander_Grothendieck gptkb:David_Mumford gptkb:Pierre_Deligne gptkb:Shigeru_Mukai |
| gptkbp:relatedTo |
gptkb:string_theory
gptkb:Teichmüller_theory number theory |
| gptkbp:studies |
moduli spaces
|
| gptkbp:uses |
gptkb:geometric_invariant_theory
deformation theory stack theory |
| gptkbp:bfsParent |
gptkb:Algebraic_stack
|
| gptkbp:bfsLayer |
6
|