Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complete classification of Brieskorn polynomials up to the arc-analytic
  equivalence   It has been recently proved that the arc-analytic type of a singular
Brieskorn polynomial determines its exponents. This last result may be seen as
a real analogue of a theorem by E. Yoshinaga and M. Suzuki concerning the
topological type of complex Brieskorn polynomials. In the real setting it is
natural to investigate further by asking how the signs of the coefficients of a
Brieskorn polynomial change its arc-analytic type.
  The aim of the present paper is to answer this question by giving a complete
classification of Brieskorn polynomials up to the arc-analytic equivalence. The
proof relies on an invariant of this relation whose construction is similar to
the one of Denef-Loeser motivic zeta functions.
  The classification obtained generalizes the one of Koike-Parusi\'nski in the
two variable case up to the blow-analytic equivalence and the one of Fichou in
the three variable case up to the blow-Nash equivalence.

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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an