Elliptic surfaces and Hilbert’s tenth problem
में बचाया:
| लेखक: | |
|---|---|
| स्वरूप: | artículo original |
| स्थिति: | Versión publicada |
| प्रकाशन तिथि: | 2023 |
| विवरण: | 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. |
| देश: | Portal de Revistas UCR |
| संस्थान: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| भाषा: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/52266 |
| ऑनलाइन पहुंच: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/52266 |
| संकेत शब्द: | Décimo problema de Hilbert Anillos de enteros Superficies elípticas Curvas elípticas Hilbert’s tenth problem Rings of integers Elliptic surfaces Elliptic curves |