Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Desingularization by blowings-up avoiding simple normal crossings   It is shown that, for any reduced algebraic variety in characteristic zero,
one can resolve all but simple normal crossings (snc) singularities by a finite
sequence of blowings-up with smooth centres which, at every step, avoids points
where the transformed variety together with the exceptional divisor has only
snc singularities. The proof follows the philosophy of arXiv:1107.5595 that the
desingularization invariant can be used together with natural geometric
information to compute local normal forms of singularities.

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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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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: bayes-an