Geometric Manin's conjecture in characteristic $p$

Brian Lehmann; Sho Tanimoto

doi:10.48550/arxiv.2601.09227

Geometric Manin's conjecture in characteristic $p$

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Brian Lehmann, Sho Tanimoto

DOI: 10.48550/arxiv.2601.09227

Cited by: 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.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Analytic Number Theory Research

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 14 January 2026
Document type: Preprint