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3 papers
Totally non congruence Veech groups
Jan-Christoph Schlage-Puchta, Gabriela Weitze-Schmithuesen
Veech groups are discrete subgroups of SL(2, R) which play an important role in the theory of translation surfaces. For a special class of translation surfaces called origamis or s…
Some examples of isotropic SL(2,R)-invariant subbundles of the Hodge bundle
Carlos Matheus, Gabriela Weitze-Schmithuesen
We construct some examples of origamis (square-tiled surfaces) such that the Hodge bundles over the corresponding SL(2,R)-orbits on the moduli space admit non-trivial isotropic SL(…
On the geometry and arithmetic of infinite translation surfaces
Ferrán Valdez, Gabriela Weitze-Schmithuesen
There are only a few invariants one classically associates with precompact translation surfaces, among them certain numberfields, i.e. fields which are finite extensions of the fie…