Statements (32)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Kähler manifold
projective variety |
| gptkbp:automorphismGroup |
gptkb:PGL(3,C)
|
| gptkbp:Betti_numbers |
1, 0, 1, 0, 1
|
| gptkbp:blowup |
del Pezzo surfaces
|
| gptkbp:canonical_bundle |
gptkb:O(-3)
|
| gptkbp:compact |
true
|
| gptkbp:dimensions |
2
|
| gptkbp:Euler_characteristic |
3
|
| gptkbp:example |
gptkb:Fano_variety
rational surface |
| gptkbp:field |
complex numbers
|
| gptkbp:firstChernClass |
positive
|
| gptkbp:fullName |
gptkb:complex_projective_plane
|
| gptkbp:fundamentalGroup |
trivial
|
| gptkbp:Hodge_diamond |
1 0 1 0 1
|
| gptkbp:homology |
Z, 0, Z, 0, Z
|
| https://www.w3.org/2000/01/rdf-schema#label |
CP^2
|
| gptkbp:intersectionForm |
1
|
| gptkbp:Kähler_manifold |
true
|
| gptkbp:line_bundle |
O(1)
|
| gptkbp:Picard_group |
Z
|
| gptkbp:pointsSystem |
[z0:z1:z2] in C^3 \\ {0} modulo scalar
|
| gptkbp:real_dimension |
4
|
| gptkbp:simplyConnected |
true
|
| gptkbp:symplectic_manifold |
true
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:topology differential geometry |
| gptkbp:bfsParent |
gptkb:complex_projective_plane
gptkb:Projective_plane |
| gptkbp:bfsLayer |
7
|