Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Operations in Milnor K-theory   We show that operations in Milnor K-theory mod $p$ of a field are spanned by
divided power operations. After giving an explicit formula for divided power
operations and extending them to some new cases, we determine for all fields
$k$ and all prime numbers $p$, all the operations $K^M_i/p \to K^M_j/p$
commuting with field extensions over the base field $k$. Moreover, the integral
case is discussed and we determine the operations $K^M_i/p \to K^M_j/p$ for
smooth schemes over a field.

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The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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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: quant-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th