Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral curves and discrete Painlev\'e equations   It is well known that isomonodromic deformations admit a Hamiltonian
description. These Hamiltonians appear as coefficients of the characteristic
equations of their Lax matrices, which define spectral curves for linear
systems of differential and difference systems. The characteristic equations in
the case of the associated linear problems for various discrete Painlev\'e
equations is biquadratic in the Painlev\'e variables. We show that the discrete
isomonodromic deformations that define the discrete Painlev\'e equations may be
succinctly described in terms of the characteristic equation of their Lax
matrices.

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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio