Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
gptkb:elliptic_curve |
| gptkbp:base_field |
complex numbers
|
| gptkbp:can_be_constructed_as |
blow-up of the projective plane at 9 points
|
| gptkbp:defines |
an elliptic surface that is also a rational surface
|
| gptkbp:Euler_characteristic |
12
|
| gptkbp:fiber_type |
gptkb:elliptic_curve
|
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:first_Betti_number |
0
|
| gptkbp:generic_fiber |
gptkb:elliptic_curve
|
| gptkbp:Hodge_diamond |
same as projective plane
|
| gptkbp:Kodaira_dimension |
-∞
|
| gptkbp:Mordell-Weil_group |
finitely generated
|
| gptkbp:namedFor |
algebraic geometers
|
| gptkbp:Picard_number |
10
|
| gptkbp:relatedTo |
gptkb:K3_surface
gptkb:Enriques_surface gptkb:del_Pezzo_surface gptkb:Weierstrass_equation |
| gptkbp:second_Betti_number |
10
|
| gptkbp:section |
has a section
|
| gptkbp:singular_fibers |
at most 12
|
| gptkbp:used_in |
classification of algebraic surfaces
|
| gptkbp:bfsParent |
gptkb:elliptic_surfaces
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
rational elliptic surface
|