English

An algorithm for the HK function for disjoint-term trinomial hypersurfaces

Combinatorics 2012-04-25 v1 Commutative Algebra

Abstract

A `trinomial hypersurface' is a hypersurface that is defined by a single polynomial having 3 non-constant terms in it and no constant term. A `disjoint-term trinomial hypersurface' is a trinomial hypersurface whose defining polynomial has the property that any 2 distinct terms in it have GCD equal to 1. In this article, I provide an algorithm for computing the Hilbert-Kunz function for any disjoint-term trinomial hypersurface in general, over any field of arbitrary positive characteristic. However, I do not provide any formula for the Hilbert-Kunz function.

Keywords

Cite

@article{arxiv.1204.5417,
  title  = {An algorithm for the HK function for disjoint-term trinomial hypersurfaces},
  author = {Shyamashree Upadhyay},
  journal= {arXiv preprint arXiv:1204.5417},
  year   = {2012}
}

Comments

31 pages

R2 v1 2026-06-21T20:54:08.617Z