Continuity of Hilbert-Kunz multiplicity and F-signature
Commutative Algebra
2019-12-11 v4
Abstract
We establish the continuity of Hilbert-Kunz multiplicity and F-signature as functions from a Cohen-Macaulay local ring of prime characteristic to the real numbers at reduced parameter elements with respect to the -adic topology.
Keywords
Cite
@article{arxiv.1707.04366,
title = {Continuity of Hilbert-Kunz multiplicity and F-signature},
author = {Thomas Polstra and Ilya Smirnov},
journal= {arXiv preprint arXiv:1707.04366},
year = {2019}
}
Comments
New version: as pointed out by Alessandro De Stefani the main theorem for F-signature holds only if the ring is Gorenstein