Filtered Perverse Complexes
| dc.creator | Bressler, P. | |
| dc.creator | Saito, M. | |
| dc.creator | Youssin, B. | |
| dc.date | 1996-07-19 | |
| dc.date | 1997-09-22 | |
| dc.date.accessioned | 2026-07-07T08:58:08Z | |
| dc.date.available | 2026-07-07T08:58:08Z | |
| dc.description | We introduce the notion of filtered perversity of a filtered differential complex on a complex analytic manifold $X$, without any assumptions of coherence, with the purpose of studying the connection between the pure Hodge modules and the \lt-complexes. We show that if a filtered differential complex $(\cM^\bullet,F_\bullet)$ is filtered perverse then $\aDR(\cM^\bullet,F_\bullet)$ is isomorphic to a filtered $\cD$-module; a coherence assumption on the cohomology of $(\cM^\bullet,F_\bullet)$ implies that, in addition, this $\cD$-module is holonomic. We show the converse: the de Rham complex of a holonomic Cohen-Macaulay filtered $\cD$-module is filtered perverse. | |
| dc.description | AMSLaTeX v 1.1. This version is a major revision. With the new co-author (M.Saito) it contains substantially new results, improvements and corrections | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9607020 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9607020 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147202 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Filtered Perverse Complexes | |
| dc.type | text |