Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slopes of modular forms and reducible Galois representations: an
  oversight in the ghost conjecture   The ghost conjecture, formulated by this article's authors, predicts the list
of p-adic valuations of the non-zero p-th eigenvalues ("slopes") for
overconvergent p-adic modular eigenforms in terms of the Newton polygon of an
easy-to-describe power series (the "ghost series"). The prediction is
restricted to eigenforms whose Galois representation modulo p is reducible on a
decomposition group at p. It has been discovered, however, that the conjecture
is not formulated correctly. Here we explain the issue and propose a salvage.

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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: stat
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th