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
|
https://www.w3.org/2000/01/rdf-schema#label |
rational elliptic surface
|
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 |
7
|