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Coble rational surfaces
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 123, Number 1, February 2001
- pp. 79-114
- 10.1353/ajm.2001.0002
- Article
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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.