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Hilbert-Kunz Multiplicity and Reduction Mod p

Published online by Cambridge University Press:  11 January 2016

V. Trivedi*
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road Mumbai-400005, India vija@math.tifr.res.in
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Abstract

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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.

Information

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007