Shimura curve

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:algebraic_geometry
gptkbp:containsGenus greater than 0 (in general)
gptkbp:definedIn number field
gptkbp:field gptkb:mathematics
gptkbp:generalizes modular group
gptkbp:hasComplexPoints quotient of upper half-plane by arithmetic group
gptkbp:hasModuliInterpretation moduli space of abelian varieties with additional structure
gptkbp:hasSubfield arithmetic geometry
https://www.w3.org/2000/01/rdf-schema#label Shimura curve
gptkbp:introduced gptkb:Goro_Shimura
gptkbp:namedAfter gptkb:Goro_Shimura
gptkbp:originatedIn quaternion algebra over number field
gptkbp:relatedTo gptkb:elliptic_curve
modular group
moduli space
gptkbp:studiedBy number theorists
gptkbp:studiedIn modular forms
automorphic forms
gptkbp:type moduli space
gptkbp:usedIn gptkb:Langlands_program
arithmetic geometry
gptkbp:bfsParent gptkb:Goro_Shimura
gptkb:moduli_space
gptkbp:bfsLayer 6