Details
| Original language | English |
|---|---|
| Pages (from-to) | 481-489 |
| Number of pages | 9 |
| Journal | Mathematical research letters |
| Volume | 14 |
| Issue number | 2-3 |
| Publication status | Published - 1 Mar 2007 |
| Externally published | Yes |
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.
Keywords
- Del Pezzo surface, Effective cone, Manin's conjecture
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Mathematical research letters, Vol. 14, No. 2-3, 01.03.2007, p. 481-489.
Research output: Contribution to journal › Article › Research › 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 -