Publication: Counting integral points on universal torsors
Counting integral points on universal torsors
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Derenthal, U. (2009). Counting integral points on universal torsors. International Mathematics Research Notices, 2009(14), 2648–2699. https://doi.org/10.1093/imrn/rnp030
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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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- Derenthal, U
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Derenthal, U. (2009). Counting integral points on universal torsors. International Mathematics Research Notices, 2009(14), 2648–2699. https://doi.org/10.1093/imrn/rnp030
