{ "id": "math/0604134", "version": "v2", "published": "2006-04-06T09:45:00.000Z", "updated": "2007-06-13T10:14:46.000Z", "title": "Formal structure of direct image of holonomic D-modules of exponential type", "authors": [ "C. Roucairol" ], "comment": "19 pages, 5 figures, supported by a fellowship of the Deutsche Forschungsgemeinschaft. Revised version", "categories": [ "math.AG", "math.CV" ], "abstract": "We compute formal invariants associated with the cohomology sheaves of the direct image of holonomic D-modules of exponential type. We also prove that every formal C[[t]]<\\partial_t>-modules is isomorphic, after a ramification, to a germ of formalized direct image of analytic D-module of exponential type.", "revisions": [ { "version": "v2", "updated": "2007-06-13T10:14:46.000Z" } ], "analyses": { "subjects": [ "32S40", "32C38", "34M35" ], "keywords": [ "exponential type", "holonomic d-modules", "formal structure", "cohomology sheaves", "formalized direct image" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......4134R" } } }