English

Coble Rational Surfaces

Algebraic Geometry 2018-06-20 v1

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.

Keywords

Cite

@article{arxiv.math/9909135,
  title  = {Coble Rational Surfaces},
  author = {I. Dolgachev and D. -Q. Zhang},
  journal= {arXiv preprint arXiv:math/9909135},
  year   = {2018}
}

Comments

28 pages (AMSTeX)