Elliptic surfaces and Hilbert’s tenth problem
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| Định dạng: | artículo original |
| Trạng thái: | Versión publicada |
| Ngày xuất bản: | 2023 |
| Miêu tả: | A negative solution to Hilbert’s tenth problem for the ring of integers OF of a number field F would follow if Z were Diophantine in OF. Denef and Lipshitz conjectured that the latter occurs for every number field F. In this note we show that the conjecture of Denef and Lipshitz is a consequence of a well-known conjecture on elliptic surfaces. |
| Quốc gia: | Portal de Revistas UCR |
| Tổ chức giáo dục: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Ngôn ngữ: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/52266 |
| Truy cập trực tuyến: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/52266 |
| Từ khóa: | Décimo problema de Hilbert Anillos de enteros Superficies elípticas Curvas elípticas Hilbert’s tenth problem Rings of integers Elliptic surfaces Elliptic curves |