modular elliptic surface

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:modularity_theorem
arithmetic geometry
study of rational points
gptkbp:basisFor modular group
gptkbp:builtBy modular group
gptkbp:defines an elliptic surface associated to a modular curve, whose fibers are elliptic curves parametrized by the modular curve
gptkbp:example universal elliptic curve over modular curve X(N)
gptkbp:fiberContent gptkb:elliptic_curve
gptkbp:field gptkb:algebraic_geometry
number theory
https://www.w3.org/2000/01/rdf-schema#label modular elliptic surface
gptkbp:relatedTo gptkb:elliptic_curve
modular group
modular function
universal family of elliptic curves
gptkbp:studiedBy gptkb:Yutaka_Taniyama
gptkb:Goro_Shimura
gptkbp:bfsParent gptkb:elliptic_surfaces
gptkbp:bfsLayer 7