Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Hida and Coleman theories on the modular curve   We construct Hida and Coleman theories for the degree 0 and 1 cohomology of
automorphic line bundles on the modular curve and we define a p-adic duality
pairing between the theories in degree 0 and 1.

21
The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph