On the geometry and arithmetic of infinite translation surfaces

Details On the geometry and arithmetic of infinite translation surfaces On the geometry and arithmetic of infinite translation surfaces

2011-02-04

arxiv.org/abs/1102.0974v1

Mathematics

Differential Geometry

18 pages, no figures

Scientific paper

We prove by constructing explicit examples that most of the classical results
for number fields associated to flat surfaces fail in the realm of infinite
type translation surfaces. We also investigate the relations among this fields
and give a characterization for infinite type Origamis.

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