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.¹

References

Dolgachev, Igor V.; Zhang, De-Qi (2001), "Coble Rational Surfaces", American Journal of Mathematics, 123 (1), The Johns Hopkins University Press: 79–114, arXiv:math/9909135, doi:10.1353/ajm.2001.0002, ISSN 0002-9327, JSTOR 25099046, MR 1827278

[1] Dolgachev, Igor V.; Zhang, De-Qi (2001), "Coble Rational Surfaces", American Journal of Mathematics, 123 (1), The Johns Hopkins University Press: 79–114, arXiv:math/9909135, doi:10.1353/ajm.2001.0002, ISSN 0002-9327, JSTOR 25099046, MR 1827278

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