Néron–Ogg–Shafarevich criterion
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
abelian varieties over local fields
|
| gptkbp:concerns |
Galois representations
abelian varieties good reduction |
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Néron–Ogg–Shafarevich criterion
|
| gptkbp:namedAfter |
gptkb:Igor_Shafarevich
gptkb:Andrew_Ogg gptkb:André_Néron |
| gptkbp:publishedIn |
Mathematical literature
|
| gptkbp:relatedTo |
gptkb:Tate_module
study of reduction of abelian varieties unramified representations |
| gptkbp:state |
An abelian variety over a local field has good reduction if and only if the associated l-adic Tate module is unramified.
|
| gptkbp:bfsParent |
gptkb:André_Néron
|
| gptkbp:bfsLayer |
7
|