| gptkbp:instanceOf | gptkb:algebraic_geometry gptkb:group_variety
 
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                                | gptkbp:definedIn | arbitrary field 
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                                | gptkbp:dimensions | non-negative integer 
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                                | gptkbp:field | gptkb:algebraic_geometry 
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                                | gptkbp:generalizes | gptkb:elliptic_curve 
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                                | gptkbp:hasDual | dual abelian variety 
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                                | gptkbp:hasEndomorphismRing | endomorphism ring 
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                                | gptkbp:hasLFunction | gptkb:lion 
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                                | gptkbp:hasSpecialCase | gptkb:Jacobian_variety gptkb:Picard_variety
 
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                                | gptkbp:hasTorsionPoints | torsion points 
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                                | gptkbp:morphism | homomorphism isogeny
 
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                                | gptkbp:namedAfter | gptkb:Niels_Henrik_Abel 
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                                | gptkbp:polarization | polarization 
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                                | gptkbp:relatedTo | gptkb:Birch_and_Swinnerton-Dyer_conjecture gptkb:Mordell–Weil_theorem
 gptkb:Torelli_theorem
 gptkb:Langlands_program
 gptkb:Motivic_cohomology
 gptkb:Tate_module
 gptkb:Lie_group
 gptkb:Mumford–Tate_group
 gptkb:Néron_model
 gptkb:Faltings'_theorem
 gptkb:Honda–Tate_theorem
 gptkb:Hodge_structure
 gptkb:Abelian_scheme
 gptkb:Albanese_variety
 gptkb:Algebraic_torus
 gptkb:Complex_torus
 gptkb:Endomorphism_algebra
 gptkb:Group_law
 gptkb:Riemann_form
 gptkb:Serre–Tate_theory
 gptkb:Simple_abelian_variety
 gptkb:moduli_space
 gptkb:Siegel_modular_variety
 Weil pairing
 Isogeny class
 
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                                | gptkbp:structure | gptkb:projective_variety commutative algebraic group
 
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                                | gptkbp:usedIn | complex analysis cryptography
 number theory
 arithmetic geometry
 
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                                | gptkbp:bfsParent | gptkb:Riemann_matrices gptkb:Tate_pairing
 
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                                | gptkbp:bfsLayer | 6 
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                                | https://www.w3.org/2000/01/rdf-schema#label | Abelian varieties 
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