
arXiv: math/9909135
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.
Plane and space curves, Mathematics - Algebraic Geometry, rational elliptic surface, Rational and ruled surfaces, FOS: Mathematics, \(K3\) surfaces and Enriques surfaces, plane sextics, \(K3\)-surface, elliptic fibration, 14J26, Algebraic Geometry (math.AG)
Plane and space curves, Mathematics - Algebraic Geometry, rational elliptic surface, Rational and ruled surfaces, FOS: Mathematics, \(K3\) surfaces and Enriques surfaces, plane sextics, \(K3\)-surface, elliptic fibration, 14J26, Algebraic Geometry (math.AG)
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