at Google ScholarTitle data
Derenthal, Ulrich ; Elsenhans, Andreas-Stephan ; Jahnel, Jörg:
On the factor alpha in Peyre’s constant.
In: Mathematics of Computation.
Vol. 83
(2014)
Issue 286
.
- pp. 965-977.
ISSN 0025-5718
DOI: https://doi.org/10.1090/S0025-5718-2013-02772-X
Abstract in another language
For an arbitrary del Pezzo surface S, we compute alpha(S), which is the volume of a certain polytope in the dual of the effective cone of S, using magma and polymake. The constant alpha(S) appears in Peyre's conjecture for the asymptotic formula for the number of rational points of bounded height on S over number fields.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | Peyre's constant; del Pezzo surface; polyhedron; volume; polymake |
| Subject classification: | MSC (2010): Primary 14J26; Secondary 51M20, 14G05 |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II (Computer Algebra) Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Date Deposited: | 22 Jun 2015 07:15 |
| Last Modified: | 22 Jun 2015 07:15 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/15318 |