English

On the $8n^2$-inequality

Algebraic Geometry 2008-11-04 v1

Abstract

We give a complete proof of the so called 8n28n^2-inequality, a local inequality for the self-intersection of a movable linear system at an isolated centre of a non canonical singularity. The inequality was suggested and several times published by I.Cheltsov but some of his arguments are faulty. We explain the mistake and replace the faulty piece by a correct argument.

Cite

@article{arxiv.0811.0183,
  title  = {On the $8n^2$-inequality},
  author = {Aleksandr Pukhlikov},
  journal= {arXiv preprint arXiv:0811.0183},
  year   = {2008}
}

Comments

LaTeX, 8 pages

R2 v1 2026-06-21T11:37:26.280Z