Notes on the Frobenius test exponents
Commutative Algebra
2018-10-04 v2
Abstract
In this paper we show that the Frobenius test exponent for parameter ideals of a local ring of prime characteristic is always bigger than or equal to its Hartshorne-Speiser-Lyubeznik number. Our argument is based on an isomorphism of Nagel and Schenzel on local cohomology that we will provide an elementary proof.
Cite
@article{arxiv.1801.04827,
title = {Notes on the Frobenius test exponents},
author = {Duong Thi Huong and Pham Hung Quy},
journal= {arXiv preprint arXiv:1801.04827},
year = {2018}
}
Comments
final version, major change in Section 2, to appear in Communication in Algebra