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arxiv: math/0407513 · v2 · submitted 2004-07-29 · 🧮 math.AC · math.AG

Hilbert-Kunz multiplicity and reduction mod p

classification 🧮 math.AC math.AG
keywords characteristichilbert-kunzcharacteristicscurveinfinityirreduciblelimitmultiplicities
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We show that the Hilbert-Kunz multiplicities of the reductions to positive characteristics of an irreducible projective curve in characteristic 0 have a well-defined limit as the characteristic tends to infinity.

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