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

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

2012-04-24

arxiv.org/abs/1204.5417v1

Mathematics

Combinatorics

31 pages

Scientific paper

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.

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