Clebsch diagonal cubic surface
GPTKB entity
Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
cubic surface |
| gptkbp:automorphismGroup |
gptkb:S_5
|
| gptkbp:definedByEquation |
x^3 + y^3 + z^3 + w^3 = 0, x + y + z + w = 0
|
| gptkbp:definedIn |
complex numbers
|
| gptkbp:degree |
3
|
| gptkbp:dimensions |
2
|
| gptkbp:fieldOfStudy |
gptkb:algebraic_geometry
|
| gptkbp:has27Lines |
true
|
| gptkbp:hasRealPoints |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
Clebsch diagonal cubic surface
|
| gptkbp:introducedIn |
1871
|
| gptkbp:namedAfter |
gptkb:Alfred_Clebsch
|
| gptkbp:notableFor |
all 27 lines are real
|
| gptkbp:relatedTo |
gptkb:Fermat_cubic_surface
gptkb:Schläfli_double_six |
| gptkbp:symmetry |
high symmetry
|
| gptkbp:bfsParent |
gptkb:Alfred_Clebsch
|
| gptkbp:bfsLayer |
5
|