{ "id": "0709.1597", "version": "v1", "published": "2007-09-11T11:59:00.000Z", "updated": "2007-09-11T11:59:00.000Z", "title": "Analytic continuation of residue currents", "authors": [ "HÃ¥kan Samuelsson" ], "doi": "10.1007/s11512-008-0086-9", "categories": [ "math.CV" ], "abstract": "Let $X$ be a complex manifold and $f\\colon X\\to \\C^p$ a holomorphic mapping defining a complete intersection. We prove that the iterated Mellin transform of the residue integral associated to $f$ has an analytic continuation to a neighborhood of the origin in $\\C^p$.", "revisions": [ { "version": "v1", "updated": "2007-09-11T11:59:00.000Z" } ], "analyses": { "subjects": [ "32A27", "32C30" ], "keywords": [ "analytic continuation", "residue currents", "complex manifold", "iterated mellin transform", "complete intersection" ], "tags": [ "journal article" ], "publication": { "journal": "Arkiv for Matematik", "year": 2009, "month": "Apr", "volume": 47, "number": 1, "pages": 127 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009ArM....47..127S" } } }