PEL-type Shimura variety

GPTKB entity

Statements (28)
Predicate Object
gptkbp:instanceOf gptkb:algebraic_geometry
moduli space
gptkbp:definedIn number field
gptkbp:dimensions depends on data
gptkbp:hasApplication modular forms
study of Galois representations
arithmetic of abelian varieties
gptkbp:hasComplexPoints double coset space
gptkbp:hasEndomorphismAlgebra semisimple algebra
gptkbp:hasLevelStructure finite group action
gptkbp:hasModuliInterpretation moduli of abelian varieties with additional structure
gptkbp:hasProperty polarization
endomorphism
level structure
gptkbp:hasSpecialCase gptkb:Hilbert_modular_variety
gptkb:Siegel_modular_variety
unitary Shimura variety
https://www.w3.org/2000/01/rdf-schema#label PEL-type Shimura variety
gptkbp:introduced gptkb:Deligne
gptkbp:isQuotientOf hermitian symmetric domain by arithmetic group
gptkbp:namedAfter Polarization, Endomorphism, Level structure
gptkbp:polarization principal polarization
gptkbp:relatedTo gptkb:moduli_space_of_abelian_varieties
automorphic forms
gptkbp:studiedIn arithmetic geometry
gptkbp:usedIn gptkb:Langlands_program
gptkbp:bfsParent gptkb:moduli_space
gptkbp:bfsLayer 6