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arxiv: math/9909135 · v1 · pith:VWTXYXIZnew · submitted 1999-09-23 · 🧮 math.AG

Coble Rational Surfaces

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keywords coblelinearrationalsurfacesystemanti-bicanonicalanti-canonicalautomorphisms
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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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