Arithmeticity of the Kontsevich–Zorich monodromies of certain families of origamis
The variations of Hodge structures of weight one associated to square-tiled surfaces naturally generate interesting subgroups of integral symplectic matrices called Kontsevich–Zorich monodromies. In this paper, we show that arithmetic groups are frequent among the Kontsevich–Zorich monodromies of square-tiled surfaces of low genera g g .
Authors
- Etienne Bonnafoux (ORCID: https://orcid.org/0009-0001-6798-7984)
- Pascal Kattler
- Gabriela Weitze-Schmithüsen
- Manuel Sedano-Mendoza
- Ferrán Valdez
- Manuel Kany
- Carlos Matheus (ORCID: https://orcid.org/0000-0001-5119-9687)
- Rogelio Niño Hernández
Publication Details
- Journal
- Transactions of the American Mathematical Society
- Published
- 2026-10-05
- DOI
- https://doi.org/10.1090/tran/9619
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00