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Coble Rational Surfaces

I. Dolgachev·D. -Q. Zhang
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Abstract

A smooth rational surface X is a Coble surface if the anti-canonical linear system is empty while the anti-bicanonical linear system is non-empty. In this note we shall classify these X and consider the finiteness problem of the number of negative curves on X modulo automorphisms.

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I. Dolgachev, D. -Q. Zhang. 1999-09-23. Coble Rational Surfaces. https://arxiv.org/abs/math/9909135

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