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PreprintarXiv licencearXiv

Privileged SL3-local systems are motivic

  • Julia Meng
  • Charlie Wu
Open at sourcePDFDOICite

Abstract

Let X be a smooth projective variety over the complex numbers, and let 𝕍 be an irreducible privileged SL3-local system on X in the sense of Esnault and Groechenig. We show that 𝕍 is of geometric origin. We also give an example of a privileged but non-rigid SL3-local system.

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Cite

BibTeXRIS
BibTeX
@misc{meng2026privileged,
  title = {{Privileged $\mathrmSL_3$-local systems are motivic}},
  author = {Julia Meng and Charlie Wu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17173},
  eprint = {2610.17173},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17173},
}
RIS
TY  - UNPB
TI  - Privileged SL_3-local systems are motivic
AU  - Julia Meng
AU  - Charlie Wu
PY  - 2026
DA  - 2026/10/12
PB  - arXiv
DO  - 10.48550/arxiv.2610.17173
UR  - https://arxiv.org/abs/2610.17173
AB  - Let X be a smooth projective variety over the complex numbers, and let 𝕍 be an irreducible privileged SL_3-local system on X in the sense of Esnault and Groechenig. We show that 𝕍 is of geometric origin. We also give an example of a privileged but non-rigid SL_3-local system.
ER  -