gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:application
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coding theory
cryptography
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gptkbp:fieldOfStudy
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gptkb:mathematics
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gptkbp:focusesOn
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solutions to polynomial equations with integer or rational coefficients
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gptkbp:hasConcept
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gptkb:Hasse_principle
gptkb:Weil_conjectures
gptkb:Brauer–Manin_obstruction
gptkb:Mordell_conjecture
gptkb:Faltings'_theorem
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gptkbp:hasSubfield
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arithmetic geometry
arithmetic of abelian varieties
arithmetic of elliptic curves
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https://www.w3.org/2000/01/rdf-schema#label
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Diophantine Geometry
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gptkbp:namedAfter
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gptkb:Diophantus_of_Alexandria
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gptkbp:notablePerson
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gptkb:André_Weil
gptkb:Jean-Pierre_Serre
gptkb:Yuri_Manin
gptkb:Alexander_Grothendieck
gptkb:Gerd_Faltings
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gptkbp:relatedTo
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gptkb:algebraic_geometry
number theory
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gptkbp:studies
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gptkb:Diophantine_equations
arithmetic of algebraic varieties
integral points on algebraic varieties
integral solutions
rational points on algebraic varieties
rational solutions
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gptkbp:uses
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algebraic geometry techniques
arithmetic methods
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gptkbp:bfsParent
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gptkb:Serge_Lang
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gptkbp:bfsLayer
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6
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