Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Torsion in the Coherent Cohomology of Shimura Varieties and Galois
  Representations   We introduce a method for producing congruences between Hecke eigenclasses,
possibly torsion, in the coherent cohomology of automorphic vector bundles on
certain good reduction Shimura varieties. The congruences are produced using
some "generalized Hasse invariants" adapted to the Ekedahl-Oort stratification
of the special fiber.

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The categories of this paper are: nucl-th
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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: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci