PreprintCC BY 4.0arXiv
Quasi-Projectivity of Weighted Right-Angled Artin Groups
Abstract
Weighted right-angled Artin groups generalize right-angled Artin groups by adding weights to the edges of the defining graphs. We classify the weighted right-angled Artin groups that occur as fundamental groups of smooth complex quasi-projective varieties. They are precisely the finite direct products of finitely generated free groups and groups of the form ⟨ a,b| [a,b]m=1⟩.
Related
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BibTeX
@misc{liu2026quasiprojectivity,
title = {{Quasi-Projectivity of Weighted Right-Angled Artin Groups}},
author = {Yongqiang Liu and Xiaobin Xu},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.39104},
eprint = {2609.39104},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39104},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quasi-Projectivity of Weighted Right-Angled Artin Groups
AU - Yongqiang Liu
AU - Xiaobin Xu
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.39104
UR - https://arxiv.org/abs/2609.39104
AB - Weighted right-angled Artin groups generalize right-angled Artin groups by adding weights to the edges of the defining graphs. We classify the weighted right-angled Artin groups that occur as fundamental groups of smooth complex quasi-projective varieties. They are precisely the finite direct products of finitely generated free groups and groups of the form ⟨ a,b| [a,b]^m=1⟩.
ER -