{ "id": "hep-th/0503098", "version": "v3", "published": "2005-03-11T11:14:41.000Z", "updated": "2005-03-25T09:24:02.000Z", "title": "Extending the Picard-Fuchs system of local mirror symmetry", "authors": [ "Brian Forbes", "Masao Jinzenji" ], "comment": "47 pages, 7 figures. Minor errors corrected, including the correction of the triple intersection numbers for the del Pezzo surface", "journal": "J.Math.Phys. 46 (2005) 082302", "doi": "10.1063/1.1996441", "categories": [ "hep-th", "math.AG" ], "abstract": "We propose an extended set of differential operators for local mirror symmetry. If $X$ is Calabi-Yau such that $\\dim H_4(X,\\Z)=0$, then we show that our operators fully describe mirror symmetry. In the process, a conjecture for intersection theory for such $X$ is uncovered. We also find new operators on several examples of type $X=K_S$ through similar techniques. In addition, open string PF systems are considered.", "revisions": [ { "version": "v3", "updated": "2005-03-25T09:24:02.000Z" } ], "analyses": { "subjects": [ "11.25.-w" ], "keywords": [ "local mirror symmetry", "picard-fuchs system", "open string pf systems", "differential operators", "similar techniques" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "J. Math. Phys." }, "note": { "typesetting": "TeX", "pages": 47, "language": "en", "license": "arXiv", "status": "editable", "inspire": 678228 } } }