Grothendieck's section conjecture
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
smooth projective curves of genus at least 2 over number fields
|
| gptkbp:concerns |
rational points on hyperbolic curves
sections of the étale fundamental group |
| gptkbp:discusses |
gptkb:Esquisse_d’un_Programme
|
| gptkbp:field |
arithmetic geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck's section conjecture
|
| gptkbp:influenced |
research in anabelian geometry
|
| gptkbp:proposedBy |
gptkb:Alexander_Grothendieck
|
| gptkbp:relatedTo |
gptkb:anabelian_geometry
|
| gptkbp:state |
There is a bijection between rational points of a hyperbolic curve over a number field and sections of the étale fundamental group exact sequence
|
| gptkbp:status |
open
|
| gptkbp:yearProposed |
1983
|
| gptkbp:bfsParent |
gptkb:Alexander_Grothendieck
|
| gptkbp:bfsLayer |
5
|