Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on the inductive algorithm of resolution of singularities by S.
  Encinas and O. Villamayor   In this revised version, the mistake of the author confusing the weak
transform and strict transform, pointed out by E. Bierstone, is corrected. It
gives a self-contained proof of (embedded) resolution of singularities over a
field of characteristic zero following the inductive algorithm of Encinas and
Villamayor. A chapter explaining the background motivation for the invariants
used (based upon a lecture by Villamayor) and another containing some examples
demonstrating the subtle points are added.

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The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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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: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th