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Fonction asymptotique de Samuel des sections hyperplanes et multiplicité
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HICKEL, Michel | |
| dc.date.accessioned | 2024-04-04T02:42:51Z | |
| dc.date.available | 2024-04-04T02:42:51Z | |
| dc.date.created | 2009-01-09 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191281 | |
| dc.description.abstractEn | 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 $I$) $\overline{v}_I$ $:$ $A\longrightarrow \mathbb{R}\cup {+\infty}$ is defined by $\overline{v}_I(x)=lim_{k \rightarrow \+infty}\frac{ord_I(x^k}{k}$, $\forall x \in A$. Similary, one defines for another ideal $J$, $\overline{v}_I(J)$ as the minimum of $\overline{v}_I(x)$ as $x$ varies in $J$. Of special interest is the rational number $\overline{v}_I(\mathfrak{m}_A)$. 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.language.iso | fr | |
| dc.subject.en | Asymptotic Samuel function | |
| dc.subject.en | Hyperplanes sections | |
| dc.subject.en | Integral closure of ideals | |
| dc.subject.en | Multiplicity | |
| dc.subject.en | "Asymptotic Samuel function" | |
| dc.subject.en | "Hyperplanes sections" | |
| dc.subject.en | "Integral closure of ideals" | |
| dc.subject.en | "Multiplicity" | |
| dc.title | Fonction asymptotique de Samuel des sections hyperplanes et multiplicité | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Algèbre commutative [math.AC] | |
| dc.identifier.arxiv | 0901.1653 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00352329 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00352329v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Fonction%20asymptotique%20de%20Samuel%20des%20sections%20hyperplanes%20et%20multiplicit%C3%A9&rft.atitle=Fonction%20asymptotique%20de%20Samuel%20des%20sections%20hyperplanes%20et%20multiplicit%C3%A9&rft.au=HICKEL,%20Michel&rft.genre=preprint |
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