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| HAL: hal-00107068, version 1 |
| Detailed view |  Export this paper |
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| Sur certaines singularités non isolées d'hypersurfaces II |
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| Daniel Barlet 1, 2 |
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| (2006-10-17) |
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| The aim of the present article is to construct analytic invariants for a germ of an holomorphic function having a one dimensionnal critical locus $S$. This is done for a large class of such germs containing for instance any quasi-homogeneous germ at the origine. More precisely, aside the Brieskorn's $(a,b)$-module at the origine and a (locally constant along $S^* := S \ {0})$ sheaf $\hat{H}^n$ n of $(a,b)$-modules associated to the transversal hypersurface singularities along each connected component of $S^*$, we construct also $(a,b)$-modules ”with supports” $E_c$ ans $E\prime _... |
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| 1: | Institut Elie Cartan Nancy (IECN) |
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CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine |
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| 2: | Institut Universitaire de France (IUF) |
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Ministère de l'Enseignement Supérieur et de la Recherche Scientifique |
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| Analyse et géométrie complexe |
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| Subject | : | Mathematics/Complex Variables |
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| Hypersurface – Non Isolated Singularity – Vanishing Cycles – Tangling of Strata – (a – b)-modules. |
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| Attached file list to this document: | |||||
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| hal-00107068, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00107068 | |
| oai:hal.archives-ouvertes.fr:hal-00107068 | |
| From: Daniel Barlet | |
| Submitted on: Tuesday, 17 October 2006 11:42:22 | |
| Updated on: Tuesday, 17 October 2006 13:53:33 | |
