dorsal/arxiv
View SchemaGeometric Manin's conjecture in characteristic $p$
| Authors | Brian Lehmann, Sho Tanimoto |
|---|---|
| Categories | |
| ArXiv ID | 2601.09227vv1 |
| URL | https://arxiv.org/abs/2601.09227 |
| License | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
Abstract
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.
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"abstract": "Geometric Manin\u0027s 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.",
"arxiv_id": "2601.09227",
"authors": [
"Brian Lehmann",
"Sho Tanimoto"
],
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"math.AG"
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"license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
"title": "Geometric Manin\u0027s conjecture in characteristic $p$",
"url": "https://arxiv.org/abs/2601.09227",
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