Geometric Manin's conjecture in characteristic $p$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915728295198720 |
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| author | Lehmann, Brian Tanimoto, Sho |
| author_facet | Lehmann, Brian Tanimoto, Sho |
| contents | Geometric Manin's conjecture for complex Fano varieties describes the structure of the moduli space of curves. We propose a version of this conjecture in characteristic $p$ and describe its connection to the Batyrev--Manin--Peyre--Tschinkel conjecture over global fields. This is a survey paper written for a volume of the Summer Research Institute in Algebraic Geometry held at Colorado State University in 2025. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09227 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometric Manin's conjecture in characteristic $p$ Lehmann, Brian Tanimoto, Sho Algebraic Geometry Geometric Manin's conjecture for complex Fano varieties describes the structure of the moduli space of curves. We propose a version of this conjecture in characteristic $p$ and describe its connection to the Batyrev--Manin--Peyre--Tschinkel conjecture over global fields. This is a survey paper written for a volume of the Summer Research Institute in Algebraic Geometry held at Colorado State University in 2025. |
| title | Geometric Manin's conjecture in characteristic $p$ |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2601.09227 |