Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shimura- and Teichmueller curves   We classify curves in the moduli space of curves that are both Shimura- and
Teichmueller curves: Except for the moduli space of genus one curves there is
only a single such curve.
  We start with a Hodge-theoretic description of Shimura curves and of
Teichmueller curves that reveals similarities and differences of the two
classes of curves. The proof of the classification relies on the geometry of
square-tiled coverings and on estimating the numerical invariants of these
particular fibered surfaces.
  Finally we translate our main result into a classification of Teichmueller
curves with totally degenerate Lyapunov spectrum.

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The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an