Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Teichm\"uller discs in Schottkyspace   Take a Teichm\"uller disc whose corresponding flat surface has a Veech-Group
that contains a parabolic element. We look at its image in Schottkyspace and
show that we can always construct a Schottky covering such that this image is
not a disc, and, in the case of translation surfaces, even a punctured disc.
Firstly, we prove this for origamis (= square tiled closed translation
surfaces) and, then, generalise the results to flat (resp. translation)
surfaces. We also give an algorithm to find the corresponding subgroup of the
fundamental group of the origami, and we give some examples. Moreover, we
include an introduction to Teichm\"uller discs and Schottky space for the
convenience of the reader.

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The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th