Rational points on certain del Pezzo surfaces of degree one
| dc.creator | Ulas, Maciej | |
| dc.date | 2009-01-17 | |
| dc.date.accessioned | 2026-07-07T12:31:30Z | |
| dc.date.available | 2026-07-07T12:31:30Z | |
| dc.description | Let $f(z)=z^5+az^3+bz^2+cz+d \in \Z[z]$ and let us consider a del Pezzo surface of degree one given by the equation $\cal{E}_{f}: x^2-y^3-f(z)=0$. In this note we prove that if the set of rational points on the curve $E_{a, b}:Y^2=X^3+135(2a-15)X-1350(5a+2b-26)$ is infinite, then the set of rational points on the surface $\cal{E}_{f}$ is dense in the Zariski topology. | |
| dc.description | 8 pages. Published in Glasgow Mathematical Journal | |
| dc.identifier | https://arxiv.org/abs/0901.2658 | |
| dc.identifier | http://arxiv.org/abs/0901.2658 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216463 | |
| dc.subject | Number Theory | |
| dc.subject | 11D25, 11D41, 11G052 | |
| dc.title | Rational points on certain del Pezzo surfaces of degree one | |
| dc.type | text |