English

The $4n^2$-inequality for complete intersection singularities

Algebraic Geometry 2016-12-06 v2

Abstract

The famous 4n24n^2-inequality is extended to generic complete intersection singularities: it is shown that the multiplicity of the self-intersection of a mobile linear system with a maximal singularity is higher than 4n2μ4n^2\mu, where μ\mu is the multiplicity of the singular point.

Keywords

Cite

@article{arxiv.1607.02921,
  title  = {The $4n^2$-inequality for complete intersection singularities},
  author = {Aleksandr V. Pukhlikov},
  journal= {arXiv preprint arXiv:1607.02921},
  year   = {2016}
}

Comments

9 pages, the final version

R2 v1 2026-06-22T14:50:56.900Z