Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Jacobian conjecture
|
| gptkbp:dimensionKnown |
true for n=2
open for n>2 true for n=1 |
| gptkbp:field |
gptkb:algebraic_geometry
polynomial mappings |
| https://www.w3.org/2000/01/rdf-schema#label |
Keller's Jacobian problem
|
| gptkbp:importantFor |
major unsolved problem in mathematics
|
| gptkbp:proposedBy |
gptkb:Ott-Heinrich_Keller
|
| gptkbp:relatedTo |
dynamical systems
inverse function theorem polynomial automorphisms affine algebraic geometry |
| gptkbp:sentence |
If a polynomial map from C^n to C^n has a constant nonzero Jacobian determinant, then the map is invertible and its inverse is also a polynomial map.
|
| gptkbp:status |
open
|
| gptkbp:yearProposed |
1939
|
| gptkbp:bfsParent |
gptkb:The_Jacobian_conjecture
|
| gptkbp:bfsLayer |
7
|