Counting rational points on cubic hypersurfaces
| dc.creator | Browning, T. D. | |
| dc.date | 2007-07-16 | |
| dc.date | 2008-04-16 | |
| dc.date.accessioned | 2026-07-07T09:32:33Z | |
| dc.date.available | 2026-07-07T09:32:33Z | |
| dc.description | Let X be a geometrically integral projective cubic hypersurface defined over the rationals, with dimension D and singular locus of dimension at most D-4. For any ε>0, we show that X contains O(B^{D+ε}) rational points of height at most B. The implied constant in this estimate depends upon the choice of εand the coefficients of the cubic form defining X. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/0707.2296 | |
| dc.identifier | http://arxiv.org/abs/0707.2296 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158818 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G35 (Primary); 14G05, 14G10 (Secondary) | |
| dc.title | Counting rational points on cubic hypersurfaces | |
| dc.type | text |