Hilbert-Kunz multiplicity and reduction mod p

Details Hilbert-Kunz multiplicity and reduction mod p Hilbert-Kunz multiplicity and reduction mod p

2004-07-29

arxiv.org/abs/math/0407513v2

Mathematics

Commutative Algebra

Revised version, with more detailed exposition. Submitted for publication

Scientific paper

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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