Details
| Original language | English |
|---|---|
| Pages (from-to) | 965-977 |
| Number of pages | 13 |
| Journal | Mathematics of computation |
| Volume | 83 |
| Issue number | 286 |
| Publication status | Published - 13 Jan 2014 |
| Externally published | Yes |
Abstract
For an arbitrary del Pezzo surface S, we compute α(S), which is the volume of a certain polytope in the dual of the effective cone of S, using magma and polymake. The constant α(S) appears in Peyre's conjecture for the asymptotic formula for the number of rational points of bounded height on S over number fields
Keywords
- Del Pezzo surface, Peyre's constant, Polyhedron, Polymake, Volume
ASJC Scopus subject areas
- Mathematics(all)
- Algebra and Number Theory
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Mathematics of computation, Vol. 83, No. 286, 13.01.2014, p. 965-977.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the factor alpha in Peyre's constant
AU - Derenthal, Ulrich
AU - Elsenhans, Andreas Stephan
AU - Jahnel, Jörg
PY - 2014/1/13
Y1 - 2014/1/13
N2 - For an arbitrary del Pezzo surface S, we compute α(S), which is the volume of a certain polytope in the dual of the effective cone of S, using magma and polymake. The constant α(S) appears in Peyre's conjecture for the asymptotic formula for the number of rational points of bounded height on S over number fields
AB - For an arbitrary del Pezzo surface S, we compute α(S), which is the volume of a certain polytope in the dual of the effective cone of S, using magma and polymake. The constant α(S) appears in Peyre's conjecture for the asymptotic formula for the number of rational points of bounded height on S over number fields
KW - Del Pezzo surface
KW - Peyre's constant
KW - Polyhedron
KW - Polymake
KW - Volume
UR - http://www.scopus.com/inward/record.url?scp=84891768768&partnerID=8YFLogxK
U2 - 10.1090/S0025-5718-2013-02772-X
DO - 10.1090/S0025-5718-2013-02772-X
M3 - Article
AN - SCOPUS:84891768768
VL - 83
SP - 965
EP - 977
JO - Mathematics of computation
JF - Mathematics of computation
SN - 0025-5718
IS - 286
ER -