De La Bretèche, R; Browning, T; Derenthal, U (2007). On Manin's conjecture for a certain singular cubic surface. Annales Scientifiques de l'Ecole Normale Superieure, 40(1):1-50.
This paper contains a proof of the Manin conjecture for the singular cubic surface that is defined by the equation . In fact if US is the Zariski open subset obtained by deleting the unique line from S, and H is the usual exponential height on , then the height zeta function is analytically continued to the half-plane .
This paper contains a proof of the Manin conjecture for the singular cubic surface that is defined by the equation . In fact if US is the Zariski open subset obtained by deleting the unique line from S, and H is the usual exponential height on , then the height zeta function is analytically continued to the half-plane .
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 2007 |
| Deposited On: | 02 Nov 2009 08:29 |
| Last Modified: | 03 Nov 2023 03:01 |
| Publisher: | Elsevier |
| ISSN: | 0012-9593 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1016/j.ansens.2006.12.002 |
| Related URLs: | http://arxiv.org/abs/math/0509370 |
De La Bretèche, R