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arxiv: 1211.7244 · v1 · pith:XND4US5Rnew · submitted 2012-11-30 · 🧮 math.CO · math.AC

Irrational HK multiplicities are possible for trinomial hyper surfaces

classification 🧮 math.CO math.AC
keywords hypertrinomialirrationalsurfacesarticlebecomebelowcharacteristic
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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.

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