English

Irrational HK multiplicities are possible for trinomial hyper surfaces

Combinatorics 2012-12-03 v1 Commutative Algebra

Abstract

A `trinomial hyper surface' is defined in \S 1 below. In this article, I provide a supportive reasoning towards the fact that there can be examples of trinomial hyper surfaces (at least over fields of characteristic 2) for which the corresponding Hilbert-Kunz multiplicity can become irrational.

Keywords

Cite

@article{arxiv.1211.7244,
  title  = {Irrational HK multiplicities are possible for trinomial hyper surfaces},
  author = {Shyamashree Upadhyay},
  journal= {arXiv preprint arXiv:1211.7244},
  year   = {2012}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:1204.5417

R2 v1 2026-06-21T22:46:47.818Z