Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finiteness of cohomology of local systems on rigid analytic spaces   We prove that the cohomology groups of an etale Q_p-local system on a smooth
proper rigid analytic space are finite-dimensional Q_p-vector spaces, provided
that the base field is either a finite extension of Q_p or an algebraically
closed nonarchimedean field containing Q_p. This result manifests as a special
case of a more general finiteness result for the higher direct images of a
relative (phi, Gamma)-module along a smooth proper morphism of rigid analytic
spaces over a mixed-characterstic nonarchimedean field.

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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci