Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Une factorisation du syst\`eme de Beilinson-Kato   We show that the modular symbol $(0,\infty)$, considered as an element of the
dual of Emerton's completed cohomology, interpolates Kato's Euler system at
classical points, and we deduce from this a factorisation of Beilinson-Kato's
system as a product of two symbols $(0,\infty)$ (an algebraic analog of
Rankin's method). The proof uses the $p$-adic local Langlands correspondence
for ${\mathbf {GL}}_2({\mathbf Q}_p)$ and Emerton's description of the
completed cohomology which we refine by imposing conditions at classical
points; the existence of such a refinement is a manifestation of an analyticity
property for $p$-adic periods of modular forms.

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The categories of this paper are: hep-th
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The categories of this paper are: cs
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat