Masser–Wüstholz isogeny theorem
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
abelian varieties
isogenies |
| gptkbp:field |
arithmetic geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Masser–Wüstholz isogeny theorem
|
| gptkbp:provenBy |
gptkb:David_Masser
gptkb:Gisbert_Wüstholz |
| gptkbp:publishedIn |
gptkb:Inventiones_Mathematicae
|
| gptkbp:relatedTo |
gptkb:Faltings_height
number fields |
| gptkbp:state |
There is an explicit bound on the minimal degree of an isogeny between two isogenous abelian varieties over a number field, depending on their Faltings heights and the degree of the field.
|
| gptkbp:yearProved |
1993
|
| gptkbp:bfsParent |
gptkb:David_Masser
|
| gptkbp:bfsLayer |
7
|