English

A rank computation problem related to the HK function of trinomial hypersurfaces

Combinatorics 2012-10-11 v1 Commutative Algebra

Abstract

In this article, I provide a solution to a rank computation problem related to the computation of the Hilbert-Kunz function for any disjoint-term trinomial hypersurface, over any field of characteristic 2. This rank computation problem was posed in Upadhyay (arXiv:1204.5417). The formula for the Hilbert-Kunz function for disjoint-term trinomial hypersurfaces can be deduced from the result(s) of this article, modulo a lot of tedious notation.

Keywords

Cite

@article{arxiv.1210.2885,
  title  = {A rank computation problem related to the HK function of trinomial hypersurfaces},
  author = {Shyamashree Upadhyay},
  journal= {arXiv preprint arXiv:1210.2885},
  year   = {2012}
}

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14 pages