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Privileged $\mathrm{SL}_3$-local systems are motivic

Year: 2026

Type: preprint

Abstract: Let $X$ be a smooth projective variety over the complex numbers, and let $\mathbb{V}$ be an irreducible privileged $\mathrm{SL}_3$-local system on $X$ in the sense of Esnault and Groechenig. We show that $\mathbb{V}$ is of geometric origin. We also give an example of a privileged but non-rigid $\mathrm{SL}_3$-local system.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.17173

Authors: Meng, Julia, Wu, Charlie

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221754319

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