Points of bounded height on quintic del Pezzo surfaces over the rational numbers

2025/05/09 by Bernert, Christian, Derenthal, Ulrich · 1 citation
#11G35 (Primary) 11D45 #14G05 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2505.06065

Abstract

We give a relatively short and elementary proof of Manin's conjecture for split smooth quintic del Pezzo surfaces over the rational numbers.

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• The spaces of rational curves on del Pezzo surfaces via conic bundles

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