Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:abbreviation |
gptkb:Sha
|
| gptkbp:associatedWith |
elliptic curves
abelian varieties |
| gptkbp:category |
group theory
arithmetic geometry |
| 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 group
|
| gptkbp:namedAfter |
gptkb:Igor_Shafarevich
gptkb:John_Tate |
| gptkbp:openProblem |
finiteness of the group
|
| gptkbp:relatedTo |
gptkb:Birch_and_Swinnerton-Dyer_conjecture
|
| gptkbp:symbol |
Ш(A/K)
|
| gptkbp:type |
gptkb:group_of_people
|
| gptkbp:bfsParent |
gptkb:John_Tate
|
| gptkbp:bfsLayer |
4
|