Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
surface Quaternion |
| gptkbp:automorphismGroup |
gptkb:Orthogonal_group
|
| gptkbp:definedIn |
gptkb:geometry
Non-degenerate quadratic form |
| gptkbp:dimensions |
n-1
|
| gptkbp:example |
Smooth quadric curve in P^2
Smooth quadric surface in P^3 |
| gptkbp:field |
Algebraically closed field
|
| https://www.w3.org/2000/01/rdf-schema#label |
Smooth quadric hypersurface
|
| gptkbp:property |
Smooth
Non-singular Homogeneous space Irreducible Rational variety (for n>2) |
| gptkbp:relatedTo |
gptkb:Fano_variety
gptkb:Projective_geometry Grassmannian Quadratic form |
| gptkbp:studiedIn |
gptkb:Algebraic_geometry
|
| gptkbp:bfsParent |
gptkb:Fano_manifold
|
| gptkbp:bfsLayer |
7
|