Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dessins d'Enfants, Their Deformations and Algebraic the Sixth Painlev\'e
  and Gauss Hypergeometric Functions   We consider an application of Grothendieck's dessins d'enfants to the theory
of the sixth Painlev\'e and Gauss hypergeometric functions: two classical
special functions of the isomonodromy type. It is shown that, higher order
transformations and the Schwarz table for the Gauss hypergeometric function are
closely related with some particular Belyi functions. Moreover, we introduce a
notion of deformation of the dessins d'enfants and show that one dimensional
deformations are a useful tool for construction of algebraic the sixth
Painlev\'e functions.

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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat