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Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor
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UNSPECIFIED (1999) Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 32 (5). pp. 701-714. ISSN 0012-9593
Full text not available from this repository.Abstract
We prove a structure theorem for differential operators in the 0-th term of the V-filtration relative to a free divisor, manifold. As an application, we give a formula for the logarithmic de Rham complex with respect to a free divisor in terms of V-0-modules, which generalizes the classical formula for the usual de Rham complex in terms of D-modules, and the formula of Esnault-Viehweg in the case of a normal crossing divisor. We also give a sufficient algebraic condition for perversity of the logarithmic de Rham complex. (C) Elsevier, Paris.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE |
| Publisher: | GAUTHIER-VILLARS/EDITIONS ELSEVIER |
| ISSN: | 0012-9593 |
| Date: | September 1999 |
| Volume: | 32 |
| Number: | 5 |
| Number of Pages: | 14 |
| Page Range: | pp. 701-714 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/14135 |
Data sourced from Thomson Reuters' Web of Knowledge
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