Coble surface

In algebraic geometry, a Coble surface was defined by Dolgachev & Zhang (2001) 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.

References

• Dolgachev, Igor V.; Zhang, De-Qi (2001), "Coble Rational Surfaces", American Journal of Mathematics, The Johns Hopkins University Press, 123 (1): 79–114, ISSN 0002-9327, JSTOR 25099046, MR 1827278, doi:10.1353/ajm.2001.0002