Elliptic surfaces and Hilbert’s tenth problem
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| Autore: | |
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| Natura: | artículo original |
| Status: | Versión publicada |
| Data di pubblicazione: | 2023 |
| Descrizione: | 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. |
| Stato: | Portal de Revistas UCR |
| Istituzione: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Lingua: | Español |
| OAI Identifier: | oai:archivo.portal.ucr.ac.cr:article/52266 |
| Accesso online: | https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/52266 |
| Keyword: | Décimo problema de Hilbert Anillos de enteros Superficies elípticas Curvas elípticas Hilbert’s tenth problem Rings of integers Elliptic surfaces Elliptic curves |