Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sur la p-dimension des corps   Let A be an excellent integral henselian local noetherian ring, k its residue
field of characteristic p>0 and K its fraction field. Using an algebraization
technique introduced by the first named author, and the one-dimension case
already proved by Kazuya KATO, we prove the following formula: cd_p(K) = dim(A)
+ p-rank(k), if k is separably closed and K of characteristic zero. A similar
statement is valid without those assumptions on k and K.

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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-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: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom