Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Algebraic_curves
Projective plane curves |
| gptkbp:category |
Theorems about curves
Theorems in algebraic geometry |
| gptkbp:field |
gptkb:Algebraic_geometry
|
| gptkbp:firstPublished |
1779
|
| gptkbp:generalizes |
gptkb:Fundamental_theorem_of_algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bezout's theorem
|
| gptkbp:namedAfter |
gptkb:Étienne_Bézout
|
| gptkbp:relatedTo |
gptkb:Bézout's_identity
Resultant |
| gptkbp:requires |
Curves have no common component
|
| gptkbp:state |
The number of intersection points of two projective plane curves is equal to the product of their degrees, counting multiplicities and points at infinity.
|
| gptkbp:usedIn |
gptkb:Algebraic_geometry
gptkb:Intersection_theory |
| gptkbp:bfsParent |
gptkb:Algebraic_curves
|
| gptkbp:bfsLayer |
6
|