Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Sha group
|
| gptkbp:associatedWith |
elliptic curves
abelian varieties |
| gptkbp:defines |
group of principal homogeneous spaces for an abelian variety that are locally trivial everywhere
|
| gptkbp:describes |
obstruction to the Hasse principle
|
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:firstDefined |
1960s
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tate-Shafarevich-Gruppe
|
| gptkbp:namedAfter |
gptkb:Igor_Shafarevich
gptkb:John_Tate |
| gptkbp:notation |
gptkb:Sha(E/K)
|
| gptkbp:openProblem |
finiteness of the group
|
| gptkbp:relatedTo |
gptkb:Birch_and_Swinnerton-Dyer_conjecture
|
| gptkbp:studiedIn |
arithmetic geometry
|
| gptkbp:bfsParent |
gptkb:Algebraische_Zahlentheorie
|
| gptkbp:bfsLayer |
6
|