Motivic counting of curves on split quintic del Pezzo surfaces
Algebraic Geometry
2026-03-31 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.2603.27668,
title = {Motivic counting of curves on split quintic del Pezzo surfaces},
author = {Christian Bernert and Loïs Faisant and Jakob Glas},
journal= {arXiv preprint arXiv:2603.27668},
year = {2026}
}
Comments
38 pages, comments welcome