Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weight elimination in Serre-type conjectures   We prove the weight elimination direction of the Serre weight conjectures as
formulated by Herzig for forms of $U(n)$ which are compact at infinity and
split at places dividing $p$ in generic situations. That is, we show that all
modular weights for a mod $p$ Galois representation are contained in the set
predicted by Herzig. Under some additional hypotheses, we also show modularity
of all the "obvious" weights.

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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: nlin
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th