A note on asymptotically good extensions in which infinitely many primes split completely
| Affiliation auteurs | Affiliation ok |
| Titre | A note on asymptotically good extensions in which infinitely many primes split completely |
| Type de publication | Journal Article |
| Year of Publication | 2020 |
| Auteurs | Hamza O, Maire C |
| Journal | ARCHIV DER MATHEMATIK |
| Volume | 115 |
| Pagination | 523-534 |
| Date Published | NOV |
| Type of Article | Article |
| ISSN | 0003-889X |
| Mots-clés | Asymptotically good extensions, Mild pro-pextensions, Pro-pextensions with restricted ramification |
| Résumé | Let p be a prime number, and let K be a number field. For p = 2, assume moreover that K is totally imaginary. In this note, we prove the existence of asymptotically good extensions L/K of cohomological dimension 2 in which infinitely many primes split completely. Our result is inspired by a recent work of Hajir, Maire, and Ramakrishna. |
| DOI | 10.1007/s00013-020-01500-0 |