Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:abbreviation |
gptkb:Sha
|
| gptkbp:associatedWith |
elliptic curves
abelian varieties |
| gptkbp:definedIn |
elliptic curve E over number field K
|
| gptkbp:defines |
group of principal homogeneous spaces for E over K that are locally trivial everywhere
|
| gptkbp:describes |
failure of the Hasse principle
|
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:heldBy |
gptkb:group_of_people
gptkb:abelian_group |
| gptkbp:namedAfter |
gptkb:Igor_Shafarevich
gptkb:John_Tate |
| gptkbp:notation |
gptkb:Sha(E/K)
|
| gptkbp:relatedTo |
gptkb:Birch_and_Swinnerton-Dyer_conjecture
|
| gptkbp:studiedIn |
arithmetic geometry
|
| gptkbp:bfsParent |
gptkb:Galois_cohomology
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
Shafarevich–Tate group
|