Shafarevich finiteness theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
number fields
abelian varieties |
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:generalizes |
gptkb:Faltings'_theorem
|
| https://www.w3.org/2000/01/rdf-schema#label |
Shafarevich finiteness theorem
|
| gptkbp:namedAfter |
gptkb:Igor_Shafarevich
|
| gptkbp:relatedTo |
gptkb:Mordell_conjecture
|
| gptkbp:state |
There are only finitely many isomorphism classes of abelian varieties of a given dimension over a number field with good reduction outside a fixed finite set of places.
|
| gptkbp:yearProved |
1962
|
| gptkbp:bfsParent |
gptkb:Shafarevich_theorem
|
| gptkbp:bfsLayer |
7
|