Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:p-divisible_groups
|
| gptkbp:category |
commutative group schemes
|
| gptkbp:citation |
Tate, John. "p-divisible groups." Proceedings of a Conference on Local Fields, 1967.
Barsotti, Iacopo. "Gruppi commutativi di tipo profinito." Annali della Scuola Normale Superiore di Pisa, 1957. |
| gptkbp:defines |
inductive system of finite commutative group schemes of p-power order
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Barsotti–Tate groups
|
| gptkbp:importantFor |
gptkb:Dieudonné_theory
moduli of abelian varieties |
| gptkbp:introduced |
gptkb:John_Tate
gptkb:Iacopo_Barsotti |
| gptkbp:order |
p^n for each n
|
| gptkbp:relatedTo |
abelian varieties
group schemes formal groups |
| gptkbp:structure |
compatible system of group schemes
|
| gptkbp:studiedIn |
arithmetic geometry
|
| gptkbp:usedIn |
p-adic Hodge theory
study of deformation theory study of reduction of abelian varieties |
| gptkbp:bfsParent |
gptkb:p-divisible_groups
|
| gptkbp:bfsLayer |
8
|