{ "id": "1512.06923", "version": "v1", "published": "2015-12-22T00:52:47.000Z", "updated": "2015-12-22T00:52:47.000Z", "title": "On Enriques surfaces in characteristic 2 with a finite group of automorphisms", "authors": [ "Toshiyuki Katsura", "Shigeyuki Kondo" ], "comment": "27 pages, 4 figures", "categories": [ "math.AG" ], "abstract": "Complex Enriques surfaces with a finite group of automorphisms are classified into seven types. In this paper, we determine which types of such Enriques surfaces exist in characteristic 2. In particular we give a one dimensional family of classical and supersingular Enriques surfaces with the automorphism group isomorphic to the symmetric group of degree five.", "revisions": [ { "version": "v1", "updated": "2015-12-22T00:52:47.000Z" } ], "analyses": { "keywords": [ "finite group", "characteristic", "supersingular enriques surfaces", "automorphism group isomorphic", "complex enriques surfaces" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015arXiv151206923K" } } }