Grothendieck's anabelian geometry
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
arithmetic schemes
hyperbolic curves |
| gptkbp:field |
gptkb:algebraic_geometry
arithmetic geometry |
| gptkbp:focusesOn |
relationship between algebraic fundamental groups and algebraic varieties
|
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck's anabelian geometry
|
| gptkbp:influenced |
modern arithmetic geometry
|
| gptkbp:introduced |
gptkb:Alexander_Grothendieck
|
| gptkbp:introducedIn |
1980s
|
| gptkbp:notableAchievement |
Mochizuki's proof of the anabelian conjecture for hyperbolic curves over number fields
|
| gptkbp:relatedTo |
gptkb:Grothendieck's_section_conjecture
Mochizuki's work profinite fundamental group |
| gptkbp:studies |
anabelian varieties
|
| gptkbp:type |
To what extent can a variety be recovered from its algebraic fundamental group?
|
| gptkbp:bfsParent |
gptkb:absolute_Galois_group_of_the_rational_numbers
|
| gptkbp:bfsLayer |
8
|