{ "id": "1202.2940", "version": "v2", "published": "2012-02-14T05:25:34.000Z", "updated": "2013-06-30T03:51:45.000Z", "title": "Reconstruction of a variety from $\\mathscr{O}[[\\hbar]]$-modules", "authors": [ "Hou-Yi Chen" ], "comment": "22 pages. arXiv admin note: text overlap with arXiv:0802.1245, arXiv:1003.3304, arXiv:0906.2175, arXiv:1103.0253 by other authors; final version", "categories": [ "math.AG" ], "abstract": "We prove that varieties are uniquely determined by the derived category of $\\mathscr{O}[[\\hbar]]$-modules with coherent cohomology which is the same as $\\mathscr{O}$-modules proved by A. Bondal and D. Orlov. We also generalize a theorem of Orlov.", "revisions": [ { "version": "v2", "updated": "2013-06-30T03:51:45.000Z" } ], "analyses": { "keywords": [ "reconstruction", "coherent cohomology", "derived category" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1202.2940C" } } }