Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The ramification filtration in certain $p$-extensions   We show that the recent result of Casta\~neda and Wu about the ramification
filtration in certain $p$-extensions of function fields of prime characteristic
$p$ is equally valid over local fields of mixed characteristic $(0,p)$. Apart
from being applicable to both equicharacteristic and mixed characteristic
cases, our method has the advantage of being purely local, purely conceptual,
more natural, and much shorter.

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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: q-fin