Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Independence of l-adic representations of geometric Galois groups   Let k be an algebraically closed field of arbitrary characteristic,let K/k be
a finitely generated field extension and let X be a separated scheme of finite
type over K. For each prime ell, the absolute Galois group of K acts on the
ell-adic etale cohomology modules of X. We prove that this family of
representations varying over ell is almost independent in the sense of Serre,
i.e., that the fixed fields inside an algebraic closure of K of the kernels of
the representations for all ell become linearly disjoint over a finite
extension of K. In doing this, we also prove a number of interesting facts on
the images and ramification of this family of representations.

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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
5
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: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex