Some Formulas for Epsilon Multiplicity in Local Rings
Commutative Algebra
2025-02-27 v2
Abstract
We prove that the epsilon multiplicity exists in a Noetherian local ring whenever the nildradical of the completion of R has nonmaximal dimension. We also extend the volume equals multiplicity formula for the epsilon multiplicity to this setting.
Keywords
Cite
@article{arxiv.2502.10895,
title = {Some Formulas for Epsilon Multiplicity in Local Rings},
author = {Stephen Landsittel},
journal= {arXiv preprint arXiv:2502.10895},
year = {2025}
}
Comments
15 pages