Motivic counting of curves on split quintic del Pezzo surfaces
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911551222448128 |
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| author | Bernert, Christian Faisant, Loïs Glas, Jakob |
| author_facet | Bernert, Christian Faisant, Loïs Glas, Jakob |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27668 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Motivic counting of curves on split quintic del Pezzo surfaces Bernert, Christian Faisant, Loïs Glas, Jakob Algebraic Geometry Number Theory 14G05, 14H10 (14E18, 14E18) 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. |
| title | Motivic counting of curves on split quintic del Pezzo surfaces |
| topic | Algebraic Geometry Number Theory 14G05, 14H10 (14E18, 14E18) |
| url | https://arxiv.org/abs/2603.27668 |