Colength, multiplicity, and ideal closure operations
arXiv:1907.00951
Abstract
In a formally unmixed Noetherian local ring, if the colength and multiplicity of an integrally closed ideal agree, then is regular. We deduce this using the relationship between multiplicity and various ideal closure operations.
arXiv comment7 pages, final version. A small inaccuracy in the proof of Lemma 4 is fixed