Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Root Parametrized Differential Equation for the Special Linear Group   Let $C \langle \boldsymbol{t} \rangle$ be the differential field generated by
$l$ differential indeterminates $\boldsymbol{t}=(t_1, \dots, t_l)$ over an
algebraically closed field $C$ of characteristic zero. In this article we
present an explicit linear parameter differential equation over $C \langle
\boldsymbol{t} \rangle$ with differential Galois group $\mathrm{SL}_{l+1}(C)$
and show that it is a generic equation in the following sense: If $F$ is an
algebraically closed differential field with constants $C$ and $E/F$ is a
Picard-Vessiot extension with differential Galois group $H(C) \subseteq
\mathrm{SL}_{l+1}(C)$, then a specialization of our equation defines a
Picard-Vessiot extension differentially isomorphic to $E/F$.

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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
9
The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph