Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wonderful blowups associated to group actions   A group action on a smooth variety provides it with the natural
stratification by irreducible components of the fixed point sets of arbitrary
subgroups. We show that the corresponding maximal wonderful blowup in the sense
of MacPherson-Procesi has only abelian stabilizers. The result is inspired by
the abelianization algorithm of Batyrev.

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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: stat
27
The categories of this paper are: comp-gas
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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: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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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