Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A duality approach to the symmetry of Bernstein-Sato polynomials of free
  divisors   In this paper we prove that the Bernstein-Sato polynomial of any free divisor
for which the $D[s]$-module $D[s] h^s$ admits a Spencer logarithmic resolution
satisfies the symmetry property $b(-s-2) = \pm b(s)$. This applies in
particular to locally quasi-homogeneous free divisors (for instance, to free
hyperplane arrangements), or more generally, to free divisors of linear
Jacobian type. We also prove that the Bernstein-Sato polynomial of an
integrable logarithmic connection $E$ and of its dual $E^*$ with respect to a
free divisor of linear Jacobian type are related by the equality $b_{E}(s)=\pm
b_{E^*}(-s-2)$. Our results are based on the behaviour of the modules $D[s]
h^s$ and $D[s] E[s]h^s $ under duality.

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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
3
The categories of this paper are: physics
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The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg