Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Refined ramification breaks in characteristic $p$   Let $K$ be a local field of characteristic $p$ and let $L/K$ be a totally
ramified elementary abelian $p$-extension with a single ramification break $b$.
Byott and Elder defined the refined ramification breaks of $L/K$, an extension
of the usual ramification data. In this paper we give an alternative definition
for the refined ramification breaks, and we use Artin-Schreier theory to
compute both versions of the breaks in some special cases.

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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th