Lower bounds for Hilbert-Kunz multiplicities in local rings of fixed dimension
| Autor: | Aberbach, Ian M., Enescu, Florian |
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| Rok vydání: | 2007 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 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 |
| Databáze: | arXiv |
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