Counting integral points on universal torsors

Details Counting integral points on universal torsors Counting integral points on universal torsors

2008-10-22

arxiv.org/abs/0810.4122v2

Mathematics

Number Theory

48 pages

Scientific paper

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.

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