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arXiv · math/0404191

Hilbert-Kunz Functions for Normal Rings

Craig Huneke·Moira A. McDermott·Paul Monsky
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Abstract

Let (R,m,k) be an excellent, local, normal ring of characteristic p with a perfect residue field and dim R=d. Let M be a finitely generated R-module. We show that there exists a real number beta(M) such that lambda(M/I^[q]M) = e_{HK}(M) q^d + beta(M) q^{d-1} + O(q^{d-2}).

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BibTeXRIS

Craig Huneke, Moira A. McDermott, Paul Monsky. 2004-11-05. Hilbert-Kunz Functions for Normal Rings. https://arxiv.org/abs/math/0404191

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