On rings with small Hilbert-Kunz multiplicity
| dc.creator | Blickle, Manuel | |
| dc.creator | Enescu, Florian | |
| dc.date | 2003-08-04 | |
| dc.date.accessioned | 2026-07-07T07:41:49Z | |
| dc.date.available | 2026-07-07T07:41:49Z | |
| dc.description | A result of Watanabe and Yoshida says that an unmixed local ring of positive characteristic is regular if and only if its Hilbert-Kunz multiplicity is one. We show that, for fixed $p$ (characteristic) and $d$ (dimension), there exist a number $ε(d,p) > 0$ such that any nonregular unmixed ring $R$ has Hilbert-Kunz multiplicity at least $1+ε(d,p)$. We also show that local rings with sufficiently small Hilbert-Kunz multiplicity are Cohen-Macaulay and $F$-rational. | |
| dc.description | 5 pages. to appear in Proc. AMS | |
| dc.identifier | https://arxiv.org/abs/math/0308022 | |
| dc.identifier | http://arxiv.org/abs/math/0308022 | |
| dc.identifier | Proc. Amer. Math. Soc. 132 (2004), no. 9, 2505--2509 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122253 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13A35 | |
| dc.title | On rings with small Hilbert-Kunz multiplicity | |
| dc.type | text |