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

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arxiv 2505.06065 v1 pith:74ZNL6XF submitted 2025-05-09 math.NT math.AG

Christian Bernert , Ulrich Derenthal This is my paper
classification math.NTmath.AG
keywords numberspezzoquinticrationalsurfacesboundedconjectureelementary
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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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  1. Manin's conjecture for quintic del Pezzo surfaces with a conic bundle structure

    math.NT 2025-06 accept novelty 7.0 of 10

    The paper establishes Manin's conjecture for infinitely many non-split quintic del Pezzo surfaces, with an explicit Peyre constant in the Galois general case.

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