Counting integral points on universal torsors

authored by

Ulrich Derenthal

Abstract

Manin's conjecture for the asymptotic behavior of the number of rational points of bounded height on del Pezzo surfaces can be approached through universal torsors. We prove several auxiliary results for the estimation of the number of integral points in certain regions on universal torsors. As an application, we prove Manin's conjecture for a singular quartic del Pezzo surface.

External Organisation(s)

Universität Zürich (UZH)

Type

Article

Journal

International Mathematics Research Notices

Volume

2009

Pages

2648-2699

No. of pages

52

ISSN

1073-7928

Publication date

01.12.2009

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

General Mathematics

Electronic version(s)

https://doi.org/10.1093/imrn/rnp030 (Access: Unknown)