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gptkbp:instanceOf
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gptkb:academic
gptkb:mathematical_concept
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gptkbp:developedBy
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gptkb:André_Weil
gptkb:David_Hilbert
gptkb:Jean-Pierre_Serre
gptkb:René_Descartes
gptkb:Oscar_Zariski
gptkb:Alexander_Grothendieck
gptkb:Pierre_de_Fermat
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gptkbp:hasConcept
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gptkb:Riemann–Roch_theorem
gptkb:Functor
gptkb:Zariski_topology
gptkb:algebraic_geometry
gptkb:fiber
gptkb:Bézout's_theorem
gptkb:Chow_ring
gptkb:Grothendieck_group
gptkb:Hilbert_polynomial
gptkb:Hilbert_scheme
gptkb:K3_surface
gptkb:Mori_theory
gptkb:Nullstellensatz
gptkb:Picard_group
gptkb:Weil_conjectures
gptkb:Tate_module
gptkb:étale_cohomology
gptkb:Cartier_divisor
gptkb:Chow_group
gptkb:Plücker_embedding
gptkb:minimal_model_program
gptkb:Chow_variety
gptkb:GAGA_principle
gptkb:Geometric_Langlands_program
gptkb:Grothendieck's_schemes
gptkb:Jacobian_variety
gptkb:Mumford's_geometric_invariant_theory
gptkb:Néron_model
gptkb:Segre_embedding
gptkb:Veronese_embedding
gptkb:toric_variety
gptkb:Hodge_structure
gptkb:elliptic_curve
Noetherian ring
affine variety
scheme
Abelian variety
Grassmannian
Kähler manifold
Weil divisor
blowup
cohomology
divisor
intersection theory
moduli space
morphism
projective variety
rational map
resolution of singularities
sheaf
singularity
finite field
desingularization
motives
stack
algebraic cycle
algebraic fundamental group
ample line bundle
blowdown
coherent sheaf
fano variety
field of definition
group scheme
intersection multiplicity
projective bundle
quasi-coherent sheaf
rational equivalence
rational point
secant variety
tangent space
torus action
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gptkbp:hasSubfield
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gptkb:motivic_homotopy_theory
gptkb:tropical_geometry
real algebraic geometry
arithmetic geometry
birational geometry
complex algebraic geometry
modern algebraic geometry
computational algebraic geometry
enumerative geometry
classical algebraic geometry
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https://www.w3.org/2000/01/rdf-schema#label
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Algebraic geometry
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gptkbp:relatedTo
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differential geometry
arithmetic geometry
homological algebra
scheme theory
singularity theory
moduli theory
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gptkbp:studies
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algebraic varieties
solutions to algebraic equations
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gptkbp:uses
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gptkb:commutative_algebra
gptkb:topology
gptkb:category_theory
abstract algebra
complex analysis
number theory
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gptkbp:bfsParent
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gptkb:geometry
gptkb:lion
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gptkbp:bfsLayer
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4
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