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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:compact
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gptkb:Deligne–Mumford_compactification
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gptkbp:describes
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parameter space of algebraic curves
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gptkbp:dimensions
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3g-3 for g>1
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gptkbp:field
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gptkb:algebraic_geometry
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https://www.w3.org/2000/01/rdf-schema#label
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moduli space of curves
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gptkbp:introduced
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gptkb:David_Mumford
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gptkbp:notation
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gptkb:Mg
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gptkbp:parameter
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isomorphism classes of algebraic curves
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gptkbp:relatedTo
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gptkb:algebraic_geometry
gptkb:Picard_group
gptkb:Teichmüller_space
gptkb:moduli_space_of_Riemann_surfaces
gptkb:moduli_space_of_abelian_varieties
gptkb:moduli_problem
gptkb:Deligne–Mumford_stack
gptkb:Hodge_bundle
gptkb:Hurwitz_space
gptkb:coarse_moduli_space
gptkb:geometric_invariant_theory
gptkb:hyperelliptic_curves
gptkb:Gromov–Witten_invariants
modular forms
intersection theory
mapping class group
fine moduli space
rational curves
algebraic stacks
moduli space of vector bundles
mapping class group action
moduli functor
moduli space of pointed curves
moduli space of stable maps
moduli stack of curves
universal curve
cohomology of moduli space
moduli space of genus one curves
moduli space of genus zero curves
moduli space of higher genus curves
moduli space of marked curves
singular curves
stable curves
stacky curves
tautological classes
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gptkbp:usedIn
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gptkb:string_theory
enumerative geometry
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gptkbp:bfsParent
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gptkb:Brill–Noether_theory
gptkb:Witten_conjecture
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gptkbp:bfsLayer
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5
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