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gptkbp:instanceOf
|
gptkb:logic
|
|
gptkbp:appliesTo
|
gptkb:Riemann_surfaces
gptkb:vector_bundles
varieties
algebraic curves
complex structures
sheaves
|
|
gptkbp:concerns
|
classification problems
|
|
gptkbp:field
|
gptkb:algebraic_geometry
differential geometry
mathematical physics
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
moduli space theory
|
|
gptkbp:notableIdea
|
gptkb:Seshadri_constant
gptkb:Torelli_theorem
gptkb:Hilbert_scheme
gptkb:Brill–Noether_theory
gptkb:Chow_variety
gptkb:Seiberg–Witten_invariants
gptkb:Deligne–Mumford_stack
gptkb:coarse_moduli_space
gptkb:Gromov–Witten_invariants
gptkb:Geometric_Invariant_Theory_quotient
gptkb:Picard_scheme
moduli space
mapping class group
deformation theory
fine moduli space
Higgs bundles
moduli functor
period mapping
stable curves
parameter space
stable bundles
universal family
|
|
gptkbp:notablePerson
|
gptkb:Jean-Pierre_Serre
gptkb:Simon_Donaldson
gptkb:Phillip_Griffiths
gptkb:Alexander_Grothendieck
gptkb:David_Mumford
gptkb:Pierre_Deligne
gptkb:Maxim_Kontsevich
|
|
gptkbp:relatedTo
|
gptkb:Teichmüller_theory
gptkb:geometric_invariant_theory
stack theory
|
|
gptkbp:studies
|
moduli spaces
|
|
gptkbp:usedIn
|
gptkb:string_theory
gptkb:mirror_symmetry
gptkb:topological_field_theory
enumerative geometry
|
|
gptkbp:bfsParent
|
gptkb:Riemannian_manifold
|
|
gptkbp:bfsLayer
|
5
|