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On the factor alpha in Peyre’s constant

Title 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
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