Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:basisFor |
gptkb:Zariski_topology
|
| gptkbp:can_be_irreducible |
yes
|
| gptkbp:can_be_reducible |
yes
|
| gptkbp:coordinate_ring |
finitely generated algebra
|
| gptkbp:definedIn |
algebraically closed field
zero set of polynomials |
| gptkbp:dimensions |
Krull dimension of coordinate ring
|
| gptkbp:example |
affine plane
affine line affine cubic curve affine quadric |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:generalizes |
algebraic set
|
| https://www.w3.org/2000/01/rdf-schema#label |
affine varieties
|
| gptkbp:morphism |
regular map
|
| gptkbp:relatedTo |
projective varieties
|
| gptkbp:studiedBy |
gptkb:David_Hilbert
gptkb:algebraic_geometry gptkb:Oscar_Zariski |
| gptkbp:subset_of |
gptkb:Euclidean_space
|
| gptkbp:bfsParent |
gptkb:affine_schemes
|
| gptkbp:bfsLayer |
7
|