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A nonarithmetic lattice from a mirror in the Couwenberg-Heckman-Looijenga construction
Abstract
We prove that the stabilizer of a reflection mirror of the Couwenberg-Heckman-Looijenga lattice š¯’˛(G29,3) induces a nonarithmetic lattice in PU(2,1). This lattice is not commensurable with any Deligne-Mostow lattice in PU(2,1) or any lattice in the twenty-two nonarithmetic classes listed by Deraux, Parker and Paupert.
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BibTeX
@misc{yu2026nonarithmetic,
title = {{A nonarithmetic lattice from a mirror in the Couwenberg-Heckman-Looijenga construction}},
author = {Chenglong Yu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.00270},
eprint = {2611.00270},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.00270},
}
RIS
TY - UNPB
TI - A nonarithmetic lattice from a mirror in the Couwenberg-Heckman-Looijenga construction
AU - Chenglong Yu
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.00270
UR - https://arxiv.org/abs/2611.00270
AB - We prove that the stabilizer of a reflection mirror of the Couwenberg-Heckman-Looijenga lattice š¯’˛(G_29,3) induces a nonarithmetic lattice in PU(2,1). This lattice is not commensurable with any Deligne-Mostow lattice in PU(2,1) or any lattice in the twenty-two nonarithmetic classes listed by Deraux, Parker and Paupert.
ER -