Coble Rational Surfaces

Details Coble Rational Surfaces Coble Rational Surfaces

1999-09-23

arxiv.org/abs/math/9909135v1

Mathematics

Algebraic Geometry

28 pages (AMSTeX)

Scientific paper

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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