Lower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimension
| dc.creator | Aberbach, Ian M. | |
| dc.creator | Enescu, Florian | |
| dc.date | 2007-08-03 | |
| dc.date | 2008-04-04 | |
| dc.date.accessioned | 2026-07-07T09:30:19Z | |
| dc.date.available | 2026-07-07T09:30:19Z | |
| dc.description | Let $(R,\m)$ be a formally unmixed local ring of positive prime characteristic and dimension $d$. We examine the implications of having small Hilbert-Kunz multiplicity (i.e., close to 1). In particular, we show that if $R$ is not regular, there exists a lower bound, strictly greater than one, depending only on $d$, for its Hilbert-Kunz multiplicity. | |
| dc.description | 14 pages, to appear in Michigan Math Journal; a number of corrections were performed according to the referee's comments, including a weakening of Corollary 3.10 which led to a small change in the lower bound in Theorem 4.12 | |
| dc.identifier | https://arxiv.org/abs/0708.0537 | |
| dc.identifier | http://arxiv.org/abs/0708.0537 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158084 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A35 | |
| dc.title | Lower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimension | |
| dc.type | text |