Equimultiplicity Theory of Strongly $F$-regular rings
Commutative Algebra
2019-09-27 v2
Abstract
We explore the equimultiplicity theory of the -invariants Hilbert--Kunz multiplicity, -signature, Frobenius Betti numbers, and Frobenius Euler characteristic over strongly -regular rings. Techniques introduced in this article provide a unified approach to the study of these -invariants under localization and as measurements of singularities.
Keywords
Cite
@article{arxiv.1906.01162,
title = {Equimultiplicity Theory of Strongly $F$-regular rings},
author = {Thomas Polstra and Ilya Smirnov},
journal= {arXiv preprint arXiv:1906.01162},
year = {2019}
}
Comments
17 pages