Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective Hironaka resolution and its Complexity (with appendix on
  applications in positive characteristic)   Building upon works of Hironaka, Bierstone-Milman, Villamayor and Wlodarczyk,
we give an a priori estimate for the complexity of the simplified Hironaka
algorithm. As a consequence of this result, we show that there exists canonical
Hironaka embedded desingularization and principalization over fields of large
characteristic (relative to the degrees of generating polynomials).

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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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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: eess
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The categories of this paper are: hep-ex