Coble Surface

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.

References

*{{Citation , doi=10.1353/ajm.2001.0002 , last1=Dolgachev , first1=Igor V. , last2=Zhang , first2=De-Qi , title=Coble Rational Surfaces , jstor=25099046 , publisher=The Johns Hopkins University Press , year=2001 , journal=American Journal of Mathematics , issn=0002-9327 , volume=123 , issue=1 , pages=79–114, mr=1827278, arxiv=math/9909135

Algebraic surfaces
Complex surfaces