12 citations · 14 across the 4 of their papers we have counts for
5 papers
The equation of the Kenyon-Smillie -Teichmüller curve
Matteo Costantini, André Kappes
We compute the algebraic equation of the universal family over the Kenyon-Smillie -Teichmüller curve and give a nice geometric description of the torsion map. Moreover, we…
Cutting out arithmetic Teichmueller curves in genus two via Theta functions
André Kappes, Martin Moeller
We compute the class of arithmetic genus two Teichmueller curves in the Picard group of pseudo-Hilbert modular surfaces, distinguished according to their torsion order and spin inv…
Lyapunov Exponents of Rank 2-Variations of Hodge Structures and Modular Embeddings
André Kappes
If the monodromy representation of a VHS over a hyperbolic curve stabilizes a rank two subspace, there is a single non-negative Lyapunov exponent associated with it. We derive an e…
Lyapunov spectrum of ball quotients with applications to commensurability questions
André Kappes, Martin Moeller
We determine the Lyapunov spectrum of ball quotients arising from cyclic coverings. The computations are performed by rewriting the sum of Lyapunov exponents as ratios of intersect…
A origami of genus 2 with a translation
Frank Herrlich, André Kappes, Gabriela Schmithüsen
We study an example of a Teichmueller curve in the moduli space of algebraic curves of genus 2 coming from an origami S. It is particular in that its points admit the Klein four gr…