A Coble surface is a smooth rational projective surface such that its anti-canonical linear system is empty while the anti-bicanonical linear system is nonempty. In this paper we shall classify Coble surfaces and consider the finiteness problem of the number of negative rational curves on it modulo automorphisms.
No takes yet. Share an insight, caveat, or question.
Dolgachev et al. (2001) studied this question.
Synapse has enriched 3 closely related papers on similar clinical questions. Consider them for comparative context: