projective algebraic variety
GPTKB entity
Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
gptkb:mathematical_concept |
| gptkbp:ambientSpace |
gptkb:geometry
|
| gptkbp:contrastsWith |
affine algebraic variety
|
| gptkbp:definedIn |
gptkb:algebraic_geometry
zero locus of homogeneous polynomials in projective space |
| gptkbp:dimensions |
dimension of the variety
|
| gptkbp:example |
projective plane
projective curve projective hypersurface |
| gptkbp:generalizes |
projective curve
projective surface |
| gptkbp:hasCoordinateRing |
homogeneous coordinate ring
|
| gptkbp:hasFieldOfDefinition |
algebraically closed field
|
| gptkbp:hasMorphisms |
projective morphisms
|
| gptkbp:hasPoint |
closed point in projective space
|
| gptkbp:hasProperty |
closed in Zariski topology
|
| gptkbp:hasSingularities |
may be singular or nonsingular
|
| gptkbp:hasSubgroup |
gptkb:algebraic_geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
projective algebraic variety
|
| gptkbp:studiedBy |
algebraic geometers
|
| gptkbp:usedIn |
classification of algebraic varieties
|
| gptkbp:bfsParent |
gptkb:Segre_variety
|
| gptkbp:bfsLayer |
7
|