SMALL HEIGHT IN FIELDS GENERATED BY SINGULAR MODULI
| Affiliation auteurs | Affiliation ok |
| Titre | SMALL HEIGHT IN FIELDS GENERATED BY SINGULAR MODULI |
| Type de publication | Journal Article |
| Year of Publication | 2016 |
| Auteurs | Galateau A |
| Journal | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Volume | 144 |
| Pagination | 2771-2786 |
| Date Published | JUL |
| Type of Article | Article |
| ISSN | 0002-9939 |
| Résumé | We prove that some fields generated by j-invariants of CM elliptic curves (of infinite dimension over Q) satisfy the Property (B). The singular moduli are chosen so as to have supersingular reduction simultaneously above a fixed prime q, which provides strong q-adic estimates leading to an explicit lower bound for the height. |
| DOI | 10.1090/proc/13058 |