The hybrid structures for two-dimensional Deligne-Mostow lattices

The hybrid structures for two-dimensional Deligne-Mostow lattices

We will describe a simple and elementary procedure to find all non-arithmetic Deligne-Mostow lattices that can be given as hybrids, depending on the combinatorial structure of the fundamental polyhedron constructed in [18,19]. Our results give an alternate proof of the main result in [8].

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Veröffentlicht in:Journal of mathematical analysis and applications 2025-05, Vol.545 (1), p.129127, Article 129127
Hauptverfasser: Xie, Baohua, Yu, Mengqi
Format: Artikel
Sprache:eng
Schlagworte:
Complex hyperbolic geometry
Deligne-Mostow lattices
Hybrids
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Zusammenfassung:We will describe a simple and elementary procedure to find all non-arithmetic Deligne-Mostow lattices that can be given as hybrids, depending on the combinatorial structure of the fundamental polyhedron constructed in [18,19]. Our results give an alternate proof of the main result in [8].
ISSN:0022-247X
DOI:10.1016/j.jmaa.2024.129127