Hilbert-Kunz Functions for Normal Rings
交换代数
2007-05-23 v2
摘要
Let (R,m,k) be an excellent, local, normal ring of characteristic p with a perfect residue field and dim R=d. Let M be a finitely generated R-module. We show that there exists a real number beta(M) such that lambda(M/I^[q]M) = e_{HK}(M) q^d + beta(M) q^{d-1} + O(q^{d-2}).
引用
@article{arxiv.math/0404191,
title = {Hilbert-Kunz Functions for Normal Rings},
author = {Craig Huneke and Moira A. McDermott and Paul Monsky},
journal= {arXiv preprint arXiv:math/0404191},
year = {2007}
}
备注
11 pages, minor changes, additional references