Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abundance theorem for threefolds in mixed characteristic   We show the abundance theorem for arithmetic klt threefold pairs whose closed
point have residue characteristic greater than five. As a consequence, we give
a sufficient condition for the asymptotic invariance of plurigenera for certain
families of singular surface pairs to hold in mixed characteristic.

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin