Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Koszul Factorization and the Cohen-Gabber Theorem   We present a sharpened version of the Cohen-Gabber theorem for
equicharacteristic, complete local domains (A,m,k) with algebraically closed
residue field and dimension d > 0. Namely, we show that for any prime number p,
Spec(A) admits a dominant, finite map to Spec(k[[X_1,...,X_d]]) with generic
degree relatively prime to p. Our result follows from Gabber's original
theorem, elementary Hilbert-Samuel multiplicity theory, and a "factorization"
of the map induced on the Grothendieck group G_0(A) by the Koszul complex.

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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con