Hilbert-Kunz multiplicity and reduction mod $p$

V. Trivedi

doi:nmj/1174668917

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Home > Journals > Nagoya Math. J. > Volume 185 > Article

2007 Hilbert-Kunz multiplicity and reduction mod $p$

V. Trivedi

Nagoya Math. J. 185: 123-141 (2007).

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Abstract

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.