Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inductive Freeness of Ziegler's Canonical Multiderivations for
  Reflection Arrangements   Let $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the
restriction $A''$ of $A$ to any hyperplane endowed with the natural
multiplicity is then a free multiarrangement. We initiate a study of the
stronger freeness property of inductive freeness for these canonical free
multiarrangements and investigate them for the underlying class of reflection
arrangements.
  More precisely, let $A = A(W)$ be the reflection arrangement of a complex
reflection group $W$. By work of Terao, each such reflection arrangement is
free. Thus so is Ziegler's canonical multiplicity on the restriction $A''$ of
$A$ to a hyperplane. We show that the latter is inductively free as a
multiarrangement if and only if $A''$ itself is inductively free.

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The categories of this paper are: patt-sol
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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: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: bayes-an