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arxiv: 1601.00014 · v2 · pith:TBME2OI5new · submitted 2015-12-31 · 🧮 math.AC

Hilbert-Kunz multiplicity of products of ideals

classification 🧮 math.AC
keywords idealshilbert-kunzmultiplicityboundscalculationscharacterizeclosuresconnections
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We give bounds for the Hilbert-Kunz multiplicity of the product of two ideals, and we characterize the equality in terms of the tight closures of the ideals. Connections are drawn with $*$-spread and with ordinary length calculations.

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