Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
proof of Fermat's Last Theorem
|
| gptkbp:defines |
abelian varieties that are quotients of the Jacobian of a modular curve
|
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
modular abelian varieties
|
| gptkbp:notable_for |
gptkb:Shimura–Taniyama_conjecture
Modularity theorem |
| gptkbp:notableExample |
elliptic curves over Q
|
| gptkbp:property |
arise from modular forms
can be simple or non-simple can have complex multiplication carry an action of Hecke algebra defined over number fields |
| gptkbp:relatedTo |
gptkb:modular_curves
modular forms abelian varieties |
| gptkbp:studiedBy |
gptkb:Yutaka_Taniyama
gptkb:Andrew_Wiles gptkb:Goro_Shimura |
| gptkbp:bfsParent |
gptkb:modular_curves
|
| gptkbp:bfsLayer |
6
|