Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Overconvergent relative de Rham cohomology over the Fargues-Fontaine
  curve   We explain how to construct a cohomology theory on the category of separated
quasi-compact smooth rigid spaces over $\mathbf{C}_p$ (or more general base
fields), taking values in the category of vector bundles on the
Fargues-Fontaine curve, which extends (in a suitable sense) Hyodo-Kato
cohomology when the rigid space has a semi-stable proper formal model over the
ring of integers of a finite extension of $\mathbf{Q}_p$. This cohomology
theory factors through the category of rigid analytic motives of Ayoub.

31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex