Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 481-489 |
| Seitenumfang | 9 |
| Fachzeitschrift | Mathematical research letters |
| Jahrgang | 14 |
| Ausgabenummer | 2-3 |
| Publikationsstatus | Veröffentlicht - 1 März 2007 |
| Extern publiziert | Ja |
Abstract
For split smooth Del Pezzo surfaces, we analyse the structure of the effective cone and prove a recursive formula for the value of α, 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 α for all singular Del Pezzo surfaces of degree > 3.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
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in: Mathematical research letters, Jahrgang 14, Nr. 2-3, 01.03.2007, S. 481-489.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - On a constant arising in Manin's conjecture for Del Pezzo surfaces
AU - Derenthal, Ulrich
PY - 2007/3/1
Y1 - 2007/3/1
N2 - For split smooth Del Pezzo surfaces, we analyse the structure of the effective cone and prove a recursive formula for the value of α, 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 α for all singular Del Pezzo surfaces of degree > 3.
AB - For split smooth Del Pezzo surfaces, we analyse the structure of the effective cone and prove a recursive formula for the value of α, 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 α for all singular Del Pezzo surfaces of degree > 3.
KW - Del Pezzo surface
KW - Effective cone
KW - Manin's conjecture
UR - http://www.scopus.com/inward/record.url?scp=34547405665&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:34547405665
VL - 14
SP - 481
EP - 489
JO - Mathematical research letters
JF - Mathematical research letters
SN - 1073-2780
IS - 2-3
ER -