{ "id": "2003.01799", "version": "v1", "published": "2020-03-03T21:17:36.000Z", "updated": "2020-03-03T21:17:36.000Z", "title": "Tri-Coble surfaces and their automorphisms", "authors": [ "John Lesieutre" ], "comment": "11 pages", "categories": [ "math.AG", "math.DS" ], "abstract": "We construct some positive entropy automorphisms of rational surfaces with no periodic curves. The surfaces in question, which we term tri-Coble surfaces, are blow-ups of the projective plane at 12 points which have contractions down to three different Coble surfaces. The automorphisms arise as compositions of lifts of Bertini involutions from certain degree 1 weak del Pezzo surfaces.", "revisions": [ { "version": "v1", "updated": "2020-03-03T21:17:36.000Z" } ], "analyses": { "keywords": [ "weak del pezzo surfaces", "rational surfaces", "periodic curves", "bertini involutions", "automorphisms arise" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }