Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frobenius split subvarieties pull back in almost all characteristics   Let $X$ and $Y$ be schemes of finite type over $\mathrm{Spec}\ \mathbb{Z}$
and let $\alpha: Y \to X$ be a finite map. We show the following holds for all
sufficiently large primes $p$: If $\phi$ and $\psi$ are any splittings on $X
\times \mathrm{Spec}\ F_p$ and $Y \times \mathrm{Spec}\ F_p$, such that the
restriction of $\alpha$ is compatible with $\phi$ and $\psi$, and $V$ is any
compatibly split subvariety of $(X \times \mathrm{Spec}\ F_p, \phi)$, then the
reduction $\alpha^{-1}(V)^{\mathrm{red}}$ is a compatibly split subvariety of
$(Y \times \mathrm{Spec}\ F_p, \psi)$. This is meant as a tool to aid in
listing the compatibly split subvarieties of various classically split
varieties.

5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg