Campana points on wonderful compactifications

Daniel Loughran; Dylon Chow; Ramin Takloo-bighash; Sho Tanimoto

Campana points on wonderful compactifications

Daniel Loughran, Dylon Chow, Ramin Takloo-bighash, Sho Tanimoto

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a variant of Manin’s conjecture for Campana points on wonderful compactifications of semi-simple algebraic groups of adjoint type. We use this to provide evidence for a new conjecture on the leading constant in Manin’s conjecture for Campana points.

Original language	English
Journal	Mathematische Annalen
Publication status	Acceptance date - 31 Oct 2025

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https://arxiv.org/abs/2403.14433

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2403.14433v4
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title = "Campana points on wonderful compactifications",

abstract = "We prove a variant of Manin{\textquoteright}s conjecture for Campana points on wonderful compactifications of semi-simple algebraic groups of adjoint type. We use this to provide evidence for a new conjecture on the leading constant in Manin{\textquoteright}s conjecture for Campana points.",

author = "Daniel Loughran and Dylon Chow and Ramin Takloo-bighash and Sho Tanimoto",

year = "2025",

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journal = "Mathematische Annalen",

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AU - Loughran, Daniel

AU - Chow, Dylon

AU - Takloo-bighash, Ramin

AU - Tanimoto, Sho

PY - 2025/10/31

Y1 - 2025/10/31

N2 - We prove a variant of Manin’s conjecture for Campana points on wonderful compactifications of semi-simple algebraic groups of adjoint type. We use this to provide evidence for a new conjecture on the leading constant in Manin’s conjecture for Campana points.

AB - We prove a variant of Manin’s conjecture for Campana points on wonderful compactifications of semi-simple algebraic groups of adjoint type. We use this to provide evidence for a new conjecture on the leading constant in Manin’s conjecture for Campana points.

M3 - Article

SN - 0025-5831

JO - Mathematische Annalen

JF - Mathematische Annalen

ER -

Campana points on wonderful compactifications

Abstract

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