{ "id": "2007.03998", "version": "v1", "published": "2020-07-08T10:00:14.000Z", "updated": "2020-07-08T10:00:14.000Z", "title": "The automorphism group of the modular curve $X_0^*(N)$ with square-free level", "authors": [ "Francesc Bars", "Josep González" ], "categories": [ "math.NT", "math.AG" ], "abstract": "We determine the automorphism group of the modular curve $X_0^*(N)$, obtained as the quotient of the modular curve $X_0(N)$ by the group of its Atkin-Lehner involutions, for all square-free values of $N$.", "revisions": [ { "version": "v1", "updated": "2020-07-08T10:00:14.000Z" } ], "analyses": { "keywords": [ "modular curve", "automorphism group", "square-free level", "atkin-lehner involutions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }