Selmer group of abelian varieties
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describes |
obstructions to local-global principle
|
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:generalizes |
Selmer group of elliptic curves
|
| gptkbp:heldBy |
gptkb:group_of_people
subgroup of Galois cohomology group intermediate group between Mordell-Weil group and Galois cohomology |
| https://www.w3.org/2000/01/rdf-schema#label |
Selmer group of abelian varieties
|
| gptkbp:namedAfter |
gptkb:Ernst_Selmer
|
| gptkbp:notation |
Sel^n(A/K) or Sel_{n}(A/K)
|
| gptkbp:parameter |
integer n
abelian variety A number field K |
| gptkbp:relatedTo |
gptkb:algebraic_geometry
gptkb:Galois_cohomology gptkb:Mordell-Weil_group gptkb:Tate-Shafarevich_group |
| gptkbp:usedFor |
bounding rank of Mordell-Weil group
|
| gptkbp:usedIn |
descent theory
study of rational points |
| gptkbp:bfsParent |
gptkb:Selmer_group
|
| gptkbp:bfsLayer |
6
|