Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
|
| gptkbp:anticanonical_divisor |
ample
|
| gptkbp:automorphismGroup |
finite for degree ≤ 5
|
| gptkbp:class |
by degree
|
| gptkbp:degree |
integer between 1 and 9
|
| gptkbp:degree_1_case |
projective plane blown up at 8 points in general position
|
| gptkbp:degree_8_case |
projective plane blown up at one point or product of two projective lines
|
| gptkbp:degree_9_case |
projective plane
|
| gptkbp:dimensions |
2
|
| gptkbp:example |
product of two projective lines
projective plane blown up at up to 8 points |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:has(-1)-curves |
yes
|
| https://www.w3.org/2000/01/rdf-schema#label |
del Pezzo surface
|
| gptkbp:namedAfter |
gptkb:Pasquale_del_Pezzo
|
| gptkbp:Picard_number |
varies with degree
|
| gptkbp:rank |
algebraically closed field
|
| gptkbp:relatedTo |
gptkb:Fano_variety
gptkb:Cubic_surface |
| gptkbp:studiedIn |
birational geometry
|
| gptkbp:usedIn |
classification of algebraic surfaces
|
| gptkbp:bfsParent |
gptkb:Fano_variety
|
| gptkbp:bfsLayer |
6
|