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gptkbp:instanceOf
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gptkb:mathematics
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gptkbp:appliesTo
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finite fields
number fields
hyperbolic curves
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gptkbp:category
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gptkb:algebraic_geometry
number theory
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gptkbp:concerns
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reconstruction of varieties from their fundamental groups
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gptkbp:focusesOn
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relationship between algebraic fundamental groups and algebraic varieties
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https://www.w3.org/2000/01/rdf-schema#label
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anabelian geometry
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gptkbp:introduced
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gptkb:Alexander_Grothendieck
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gptkbp:notableAchievement
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Mochizuki's proof of the Grothendieck conjecture for hyperbolic curves over number fields
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gptkbp:notablePerson
|
gptkb:Shinichi_Mochizuki
gptkb:Alexander_Grothendieck
gptkb:Akio_Tamagawa
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gptkbp:relatedTo
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gptkb:Galois_groups
gptkb:Grothendieck's_section_conjecture
arithmetic geometry
|
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gptkbp:studies
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gptkb:algebraic_geometry
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gptkbp:uses
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gptkb:étale_fundamental_group
gptkb:Galois_cohomology
profinite groups
|
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gptkbp:bfsParent
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gptkb:Grothendieck's_Galois_theory
gptkb:Grothendieck's_section_conjecture
gptkb:Grothendieck's_yoga_of_the_fundamental_group
gptkb:Grothendieck–Teichmüller_group
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gptkbp:bfsLayer
|
6
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