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Derenthal, U (2009). Counting integral points on universal torsors. International Mathematics Research Notices, 2009(14):2648-2699.
Manin's conjecture for the asymptotic behavior of the number of rational points of bounded height on del Pezzo surfaces can be approached through universal torsors. We prove several auxiliary results for the estimation of the number of integral points in certain regions on universal torsors. As an application, we prove Manin's conjecture for a singular quartic del Pezzo surface.
| 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: | 2009 |
| Deposited On: | 14 Jan 2010 13:59 |
| Last Modified: | 03 Mar 2025 02:41 |
| Publisher: | Oxford University Press |
| ISSN: | 1073-7928 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1093/imrn/rnp030 |
Derenthal, U