Grothendieck–Serre conjecture
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
principal G-bundles
reductive group schemes |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:formedBy |
1950s
|
| https://www.w3.org/2000/01/rdf-schema#label |
Grothendieck–Serre conjecture
|
| gptkbp:namedAfter |
gptkb:Jean-Pierre_Serre
gptkb:Alexander_Grothendieck |
| gptkbp:relatedTo |
gptkb:Serre's_conjecture
Grothendieck's theory of schemes |
| gptkbp:state |
A principal G-bundle over a regular local ring is trivial if it is trivial over the field of fractions
|
| gptkbp:status |
open in general
proven in some cases |
| gptkbp:bfsParent |
gptkb:Alexandre_Grothendieck
|
| gptkbp:bfsLayer |
7
|