Motivic counting of curves on split quintic del Pezzo surfaces

Published 29 Mar 2026 in math.AG and math.NT | (2603.27668v1)

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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