Coble surface
Encyclopedia
In algebraic geometry, a Coble surface was defined by to be a smooth rational projective surface with empty anti-canonical linear system |−K| and non-empty anti-bicanonical linear system |−2K|. An example of a Coble surface is the blowing up
of the projective plane at the 10 nodes of a Coble curve
Blowing up
In mathematics, blowing up or blowup is a type of geometric transformation which replaces a subspace of a given space with all the directions pointing out of that subspace. For example, the blowup of a point in a plane replaces the point with the projectivized tangent space at that point...
of the projective plane at the 10 nodes of a Coble curve
Coble curve
In algebraic geometry, a Coble curve is an irreducible degree 6 planar curve with 10 double points.They were studied by ....