Irrational HK multiplicities are possible for trinomial hyper surfaces

Abstract

A `trinomial hyper surface' is defined in §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.

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

References in corpus (2)

• An algorithm for the HK function for disjoint-term trinomial hypersurfaces
• A rank computation problem related to the HK function of trinomial hypersurfaces