Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Desingularization of First Order Linear Difference Systems with Rational
  Function Coefficients   It is well known that for a first order system of linear difference equations
with rational function coefficients, a solution that is holomorphic in some
left half plane can be analytically continued to a meromorphic solution in the
whole complex plane. The poles stem from the singularities of the rational
function coefficients of the system. Just as for differential equations, not
all of these singularities necessarily lead to poles in solutions, as they
might be what is called removable. In our work, we show how to detect and
remove these singularities and further study the connection between poles of
solutions and removable singularities. We describe two algorithms to
(partially) desingularize a given difference system and present a
characterization of removable singularities in terms of shifts of the original
system.

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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph