Fonction asymptotique de Samuel des sections hyperplanes et multiplicité
| dc.creator | Hickel, Michel | |
| dc.date | 2009-01-12 | |
| dc.date.accessioned | 2026-07-07T12:28:27Z | |
| dc.date.available | 2026-07-07T12:28:27Z | |
| dc.description | Let $(A,\mathfrak{m}_A,k)$ be a local noetherian ring and $I$ an $\mathfrak{m}_A$-primary ideal. The asymptotic Samuel function (with respect to $I$) $\bar{v}_I$ $:$ $A\longrightarrow \mathbb{R}\cup {+\infty}$ is defined by $\bar{v}_I(x)=lim_{k \to \+infty}\frac{ord_I(x^k}{k}$, $\forall x \in A$. Similary, one defines for another ideal $J$, $\bar{v}_I(J)$ as the minimum of $\bar{v}_I(x)$ as $x$ varies in $J$. Of special interest is the rational number $\bar{v}_I(\mathfrak{m}_A)$. We study the behavior of the Asymptotic Samuel Function (with respect to $I$) when passing to hyperplanes sections of $A$ as one does for the theory of mixed multiplicities. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0901.1653 | |
| dc.identifier | http://arxiv.org/abs/0901.1653 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215547 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13B22 (Primary) 13C15, 13F25 (Secondary) | |
| dc.title | Fonction asymptotique de Samuel des sections hyperplanes et multiplicité | |
| dc.type | text |