Multiplicity sequence and integral dependence
Commutative Algebra
2021-10-18 v1
Abstract
We prove that two arbitrary ideals in an equidimensional and universally catenary Noetherian local ring have the same integral closure if and only if they have the same multiplicity sequence. We also obtain a Principle of Specialization of Integral Dependence, which gives a condition for integral dependence in terms of the constancy of the multiplicity sequence in families.
Cite
@article{arxiv.2008.00384,
title = {Multiplicity sequence and integral dependence},
author = {Claudia Polini and Ngo Viet Trung and Bernd Ulrich and Javid Validashti},
journal= {arXiv preprint arXiv:2008.00384},
year = {2021}
}
Comments
17 pages, to be published in Math. Ann