Kunz Regularity Criterion via algebraic entropy
Commutative Algebra
2011-10-18 v1 Algebraic Geometry
Dynamical Systems
Abstract
In arXiv:1109.6438v1 [math.AG] we introduced and studied a notion of algebraic entropy. In this paper we will give an application of algebraic entropy in proving Kunz Regularity Criterion for all contracting self-maps of finite length of Noetherian local rings in arbitrary characteristic. Some conditions of Kunz Criterion have already been extended to the general case by Avramov, Iyengar and Miller in arXiv:math/0312412v2 [math.AC], using different methods.
Cite
@article{arxiv.1110.3427,
title = {Kunz Regularity Criterion via algebraic entropy},
author = {Mahdi Majidi-Zolbanin and Nikita Miasnikov and Lucien Szpiro},
journal= {arXiv preprint arXiv:1110.3427},
year = {2011}
}
Comments
9 pages