$\mathfrak{m}$-adic Perturbations in Noetherian Local Rings
Commutative Algebra
2020-12-15 v2 Algebraic Geometry
Abstract
We develop new methods to study -adic stability in an arbitrary Noetherian local ring. These techniques are used to prove results about the behavior of Hilbert-Samuel and Hilbert-Kunz multiplicities under fine -adic perturbations.
Keywords
Cite
@article{arxiv.2011.08044,
title = {$\mathfrak{m}$-adic Perturbations in Noetherian Local Rings},
author = {Nick Cox-Steib},
journal= {arXiv preprint arXiv:2011.08044},
year = {2020}
}
Comments
46 pages. Feedback is welcome! Version 2: improved introduction and references