Tate conjecture for abelian varieties over finite fields
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
finite fields
abelian varieties |
| gptkbp:describes |
relationship between algebraic cycles and Galois representations
|
| gptkbp:field |
gptkb:algebraic_geometry
number theory |
| gptkbp:formedBy |
gptkb:John_Tate
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tate conjecture for abelian varieties over finite fields
|
| gptkbp:implies |
finiteness of the Brauer group
|
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:proposedBy |
1963
|
| gptkbp:provenBy |
divisors on abelian varieties over finite fields
|
| gptkbp:relatedTo |
gptkb:Hodge_conjecture
gptkb:Weil_conjectures |
| gptkbp:status |
open (in general)
|
| gptkbp:bfsParent |
gptkb:Tate's_theorem_on_the_Galois_cohomology_of_abelian_varieties_over_algebraic_fields
|
| gptkbp:bfsLayer |
7
|