Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rational maps as Schwarzian primitives   We study necessary and sufficient conditions for a meromorphic quadratic
differential with prescribed poles to be the Schwarzian derivative of a
rational map. We give geometric interpretations of these conditions. We also
study the pole-dependency of these Schwarzian derivatives. We show that, in the
cubic case, the analytic dependency fails precisely when the poles are
displaced at the vertices of a regular ideal tetrahedron of the hyperbolic
3-ball.

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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: cond-mat