English

Non effective planar linear systems at the boundary of the Mori cone

Algebraic Geometry 2021-11-05 v1

Abstract

In this paper we prove that certain linear systems (and all their multiples) of plane curves with general base points and zero--self intersection are empty, thus exhibiting further examples of rays at the boundary of the Mori cone of a general blow--up of the plane.

Keywords

Cite

@article{arxiv.2111.02923,
  title  = {Non effective planar linear systems at the boundary of the Mori cone},
  author = {Ciro Ciliberto and Rick Miranda},
  journal= {arXiv preprint arXiv:2111.02923},
  year   = {2021}
}

Comments

This paper is dedicated to the memory of Alberto Collino