Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Purity, formality, and arrangement complements   We prove a "purity implies formality" statement in the context of the
rational homotopy theory of smooth complex algebraic varieties, and apply it to
complements of hypersurface arrangements. In particular, we prove that the
complement of a toric arrangement is formal. This is analogous to the classical
formality theorem for complements of hyperplane arrangements, due to Brieskorn,
and generalizes a theorem of De Concini and Procesi.

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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: cs
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg