English

Upper semi-continuity of the Hilbert-Kunz multiplicity

Commutative Algebra 2019-02-20 v1

Abstract

We prove that the Hilbert-Kunz multiplicity is upper semi-continuous in F-finite rings and algebras of essentially finite type over an excellent local ring.

Keywords

Cite

@article{arxiv.1407.6476,
  title  = {Upper semi-continuity of the Hilbert-Kunz multiplicity},
  author = {Ilya Smirnov},
  journal= {arXiv preprint arXiv:1407.6476},
  year   = {2019}
}