arXiv subjects

Manuel Kany

Publications and source records attributed to Manuel Kany.

2 recordsLinked to original sources

arXiv2023

Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces II

In this note, we extend the scope of our previous work joint with Bonnafoux, Kattler, Ni\~no, Sedano-Mendoza, Valdez and Weitze-Schmith\"usen by showing the arithmeticity of the Kontsevich--Zorich monodromies of infinite families of square-tiled surfaces of genera four, five and six.

math.DS↗

arXiv2022

Arithmeticity of the Kontsevich--Zorich monodromies of certain families of square-tiled surfaces

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 $g$.

math.DS↗