Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gluing for stable families of surfaces in mixed characteristic   Motivated by the question of properness of the moduli space of stable
surfaces in mixed characteristic, we study the gluing problem for stable
families of lc surfaces over a mixed characteristic DVR. We prove that the
quotient exists, and give sufficient conditions for the the fibers of the
quotient to be the quotients of the fibers.

20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga