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Brieskorn modules and Gauss-Manin systems for non isolated hypersurface singularities | | Daniel Barlet
; Morihiko Saito
; | | Date: |
18 Nov 2004 | | Subject: | Complex Variables; Algebraic Geometry MSC-class: 32S40 | math.CV math.AG | | Abstract: | We study the Brieskorn modules associated to a function with non isolated singularities, and show that the kernel of the morphism to the Gauss-Manin system coincides with the torsion part for the action of $t$ and also for the inverse of the Gauss-Manin connection. This torsion part is not finitely generated in general, and we give a sufficient condition for the finiteness. We also prove a Thom-Sebastiani type theorem for the Brieskorn modules in the case one of two functions has an isolated singularity. | | Source: | arXiv, math.CV/0411406 | | Services: | Forum | Review | PDF | Favorites | |
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