The Hilbert-Kunz function in graded dimension two
Commutative Algebra
2016-09-07 v1 Algebraic Geometry
Abstract
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).
Cite
@article{arxiv.math/0405202,
title = {The Hilbert-Kunz function in graded dimension two},
author = {Holger Brenner},
journal= {arXiv preprint arXiv:math/0405202},
year = {2016}
}