Minimal Hilbert-Kunz multiplicity
| dc.creator | Watanabe, Kei-ichi | |
| dc.creator | Yoshida, Ken-ichi | |
| dc.date | 2003-03-12 | |
| dc.date.accessioned | 2026-07-07T04:55:57Z | |
| dc.date.available | 2026-07-07T04:55:57Z | |
| dc.description | In this paper, we ask the following question: what is the minimal value of the difference $e_{HK}(I) - e_{HK}(I')$ for ideals $I' \supseteq I$ with $l_A(I'/I) =1$? In order to answer to this question, we define the notion of minimal Hilbert-Kunz multiplicity for strongly F-regular rings. Moreover, we calculate this invariant for quotient singularities and for the coordinate ring of the Segre embedding: $P^{r-1} \times P^{s-1} \hookrightarrow P^{rs-1}$, respectively. | |
| dc.description | about 22 pages, AMS-TeX | |
| dc.identifier | https://arxiv.org/abs/math/0303139 | |
| dc.identifier | http://arxiv.org/abs/math/0303139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66763 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A35; 13H15 | |
| dc.title | Minimal Hilbert-Kunz multiplicity | |
| dc.type | text |