{ "id": "1511.07906", "version": "v1", "published": "2015-11-24T22:42:49.000Z", "updated": "2015-11-24T22:42:49.000Z", "title": "Automorphism and Cohomology II: Complete intersections", "authors": [ "Xi Chen", "Xuanyu Pan", "Dingxin Zhang" ], "comment": "24 Pages", "categories": [ "math.AG" ], "abstract": "We prove that the automorphism group of a general complete intersection $X$ in $\\PP^n$ is trivial with a few well-understood exceptions. We also prove that the automorphism group of a complete intersection $X$ acts on the cohomology of $X$ faithfully with a few well-understood exceptions.", "revisions": [ { "version": "v1", "updated": "2015-11-24T22:42:49.000Z" } ], "analyses": { "keywords": [ "cohomology", "automorphism group", "well-understood exceptions" ], "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151107906C" } } }