Derenthal, U (2007). On a constant arising in Manin's conjecture for del Pezzo surfaces. Mathematical Research Letters, 14(3):481-489.
For split smooth Del Pezzo surfaces, we analyse the structure of the effective cone and prove a recursive formula for the value of alpha, appearing in the leading constant as predicted by Peyre of Manin's conjecture on the number of rational points of bounded height on the surface. Furthermore, we calculate alpha for all singular Del Pezzo surfaces of degree at least 3.
For split smooth Del Pezzo surfaces, we analyse the structure of the effective cone and prove a recursive formula for the value of alpha, appearing in the leading constant as predicted by Peyre of Manin's conjecture on the number of rational points of bounded height on the surface. Furthermore, we calculate alpha for all singular Del Pezzo surfaces of degree at least 3.
| 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: | 10 Dec 2009 14:38 |
| Last Modified: | 03 Nov 2023 03:00 |
| Publisher: | International Press |
| ISSN: | 1073-2780 |
| Additional Information: | Copyright: International Press |
| OA Status: | Green |
| Official URL: | http://www.mrlonline.org/mrl/2007-014-003/index.html |
| Related URLs: | http://arxiv.org/abs/math/0702549 |
Derenthal, U