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arXiv · 2603.27668

Motivic counting of curves on split quintic del Pezzo surfaces

Christian Bernert·Loïs Faisant·Jakob Glas
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Abstract

We prove the "all-the-heights'' version of the Batyrev--Manin--Peyre conjecture for split quintic del Pezzo surfaces, both for counting rational points over global function fields in positive characteristic and for the motivic version over a general base field.

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Christian Bernert, Loïs Faisant, Jakob Glas. 2026-03-29. Motivic counting of curves on split quintic del Pezzo surfaces. https://arxiv.org/abs/2603.27668

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