Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Fourier transform and epsilon factors   Laumon introduced the local Fourier transform for $\ell$-adic Galois
representations of local fields, of equal characteristic $p$ different from
$\ell$, as a powerful tool to study the Fourier-Deligne transform of
$\ell$-adic sheaves over the affine line. In this article, we compute
explicitly the local Fourier transform of monomial representations satisfying a
certain ramification condition, and deduce Laumon's formula relating the
epsilon factor to the determinant of the local Fourier transform under the same
condition.

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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas