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arxiv: 1503.00894 · v1 · pith:SVGJXZXJnew · submitted 2015-03-03 · 🧮 math.AC

Some computations of generalized Hilbert-Kunz function and multiplicity

classification 🧮 math.AC
keywords ringsfinitegeneralizedhilbert-kunzcertaincharacteristicclassescomputations
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Let $R$ be a local ring of characteristic $p>0$ which is $F$-finite and has perfect residue field. We compute the generalized Hilbert-Kunz invariant for certain modules over several classes of rings: hypersurfaces of finite representation type, toric rings, $F$-regular rings.

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