{ "id": "1305.1659", "version": "v2", "published": "2013-05-07T21:45:23.000Z", "updated": "2013-09-09T03:01:43.000Z", "title": "Invariants of hypergeometric groups for Calabi-Yau complete intersections in weighted projective spaces", "authors": [ "Susumu Tanabe", "Kazushi Ueda" ], "comment": "23 pages, 2 figures, v2: revised following referee's comments", "categories": [ "math.CA", "math.AG" ], "abstract": "Let Y be a Calabi-Yau complete intersection in a weighted projective space. We show that the space of quadratic invariants of the hypergeometric group associated with the twisted I-function is one-dimensional, and spanned by the Gram matrix of a split-generator of the derived category of coherent sheaves on Y with respect to the Euler form.", "revisions": [ { "version": "v2", "updated": "2013-09-09T03:01:43.000Z" } ], "analyses": { "subjects": [ "32S40", "33C20", "53D37" ], "keywords": [ "calabi-yau complete intersection", "weighted projective space", "hypergeometric group", "quadratic invariants", "gram matrix" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.1659T" } } }