{ "id": "2302.02583", "version": "v1", "published": "2023-02-06T06:29:04.000Z", "updated": "2023-02-06T06:29:04.000Z", "title": "DAO for curves", "authors": [ "Zhuchao Ji", "Junyi Xie" ], "comment": "52 pages", "categories": [ "math.DS", "math.AG", "math.NT" ], "abstract": "We prove the Dynamical Andr\\'e-Oort (DAO) conjecture proposed by Baker and DeMarco for families of rational maps parameterized by an algebraic curve.", "revisions": [ { "version": "v1", "updated": "2023-02-06T06:29:04.000Z" } ], "analyses": { "subjects": [ "37P05", "37P30" ], "keywords": [ "rational maps", "algebraic curve", "dynamical andre-oort" ], "note": { "typesetting": "TeX", "pages": 52, "language": "en", "license": "arXiv", "status": "editable" } } }