Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:contains |
image of K-rational points modulo n
|
| gptkbp:definedIn |
global field
|
| gptkbp:describes |
obstructions to local-global principle
|
| gptkbp:field |
algebraic number theory
|
| gptkbp:hasSubgroup |
gptkb:Galois_cohomology_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
n-Selmer group
|
| gptkbp:isFinite |
true
|
| gptkbp:isQuotientOf |
Tate-Shafarevich group modulo n
|
| gptkbp:namedAfter |
gptkb:Ernst_Selmer
|
| gptkbp:notation |
Sel^{(n)}(E/K)
|
| gptkbp:parameter |
n
E (elliptic curve) K (number field) |
| gptkbp:relatedTo |
gptkb:algebraic_geometry
gptkb:Galois_cohomology gptkb:Mordell-Weil_group gptkb:elliptic_curve gptkb:Tate-Shafarevich_group |
| gptkbp:usedIn |
descent theory
study of rational points |
| gptkbp:bfsParent |
gptkb:Selmer_group
|
| gptkbp:bfsLayer |
6
|