1996/07/19 by P. Bressler, Paul Bressler, M. Saito +6
Chemistry · Mathematics · Medicine · #Algebraic Geometry (math.AG) #Axial and Atropisomeric Chirality Synthesis #FOS: Mathematics #Medical Imaging Techniques and Applications #Molecular spectroscopy and chirality #alg-geom #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9607020
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
openalex publication_date 1996/07/19 · arxiv created 1997/09/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.