Geodesic
Euler characteristics of Gothic Teichmüller curves
Möller, Martin1 ; Torres-Teigell, David1
1 Institut für Mathematik, Goethe–Universität Frankfurt, Frankfurt am Main, Germany
Geometry & topology, Tome 24 (2020) no. 3, pp. 1149-1210.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We compute the Euler characteristics of the recently discovered series of Gothic Teichmüller curves. The main tool is the construction of “Gothic” Hilbert modular forms vanishing at the images of these Teichmüller curves.

Contrary to all previously known examples, the Euler characteristic is not proportional to the Euler characteristic of the ambient Hilbert modular surfaces. This results in interesting “varying” phenomena for Lyapunov exponents.

DOI : 10.2140/gt.2020.24.1149
Classification : 32G15, 11F27, 11F46, 37D40
Keywords: Teichmüller curves, Hilbert modular surfaces, theta functions, Lyapunov exponents

Möller, Martin 1 ; Torres-Teigell, David 1

1 Institut für Mathematik, Goethe–Universität Frankfurt, Frankfurt am Main, Germany 
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Möller, Martin; Torres-Teigell, David. Euler characteristics of Gothic Teichmüller curves. Geometry & topology, Tome 24 (2020) no. 3, pp. 1149-1210. doi : 10.2140/gt.2020.24.1149. http://geodesic.mathdoc.fr/articles/10.2140/gt.2020.24.1149/

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