Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Alternating group covers of the affine line   We prove Abhyankar's Inertia Conjecture for the alternating group A_{p+2} on
p+2 letters when p = 2 mod 3, by showing that every possible inertia group
occurs for a (wildly ramified) A_{p+2}-Galois cover of the projective k-line
branched only at infinity where k is an algebraically closed field of
characteristic p > 0. More generally, when 1 < s < p and gcd(p-1, s+1)=1, we
prove that all but finitely many rational numbers which satisfy the obvious
necessary conditions occur as the upper jump in the filtration of higher
ramification groups of an A_{p+s}-Galois cover of the projective line branched
only at infinity.

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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
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The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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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-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex