{ "id": "1204.1331", "version": "v1", "published": "2012-04-05T19:51:02.000Z", "updated": "2012-04-05T19:51:02.000Z", "title": "On the de Rham complex of mixed twistor D-modules", "authors": [ "Teresa Monteiro Fernandes", "Claude Sabbah" ], "comment": "18 pages", "journal": "International Mathematics Research Notices, rns197, 24 pages, 2012", "doi": "10.1093/imrn/rns197", "categories": [ "math.AG", "math.CV" ], "abstract": "Given a complex manifold S, we introduce for each complex manifold X a t-structure on the bounded derived category of C-constructible complexes of O_S-modules on X x S. We prove that the de Rham complex of a holonomic D_{XxS/S}-module which is O_S-flat as well as its dual object is perverse relatively to this t-structure. This result applies to mixed twistor D-modules.", "revisions": [ { "version": "v1", "updated": "2012-04-05T19:51:02.000Z" } ], "analyses": { "subjects": [ "14F10", "32C38", "32S40", "32S60", "35Nxx", "58J10" ], "keywords": [ "mixed twistor d-modules", "rham complex", "complex manifold", "t-structure", "dual object" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1204.1331M" } } }