The Hilbert-Kunz function in graded dimension two

Details The Hilbert-Kunz function in graded dimension two The Hilbert-Kunz function in graded dimension two

2004-05-11

arxiv.org/abs/math/0405202v1

Mathematics

Commutative Algebra

Scientific paper

Let R denote a two-dimensional normal standard-graded domain over the algebraic closure K of a finite field of characteristic p, and let I denote a homogeneous primary ideal. We prove that the Hilbert-Kunz function of I has the form = e_{HK}(I) q^{2} + g (q) with rational Hilbert-Kunz multiplicity e_{HK}(I) and an eventually periodic function g (q).

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