{ "id": "math/0703555", "version": "v1", "published": "2007-03-19T16:24:41.000Z", "updated": "2007-03-19T16:24:41.000Z", "title": "Algebraization of complex analytic varieties and derived categories", "authors": [ "B. Toen", "M. Vaquie" ], "comment": "40 pages, french", "categories": [ "math.AG" ], "abstract": "We prove that a compact complex analytic variety is algebraizable if and only if its bounded derived dg-category of coherent sheaves is saturated.", "revisions": [ { "version": "v1", "updated": "2007-03-19T16:24:41.000Z" } ], "analyses": { "keywords": [ "derived categories", "compact complex analytic variety", "algebraization", "coherent sheaves" ], "note": { "typesetting": "TeX", "pages": 40, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007math......3555T" } } }