Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pushout of quasi-finite and flat group schemes over a Dedekind ring   Let $G$, $G_1$ and $G_2$ be quasi-finite and flat group schemes over a
complete discrete valuation ring $R$, $\varphi_1:G\to G_1$ any morphism of
$R$-group schemes and $\varphi_2:G\to G_2$ a model map. We construct the
pushout $P$ of $G_1$ and $G_2$ over $G$ in the category of $R$-affine group
schemes. In particular when $\varphi_1$ is a model map too we show that $P$ is
still a model of the generic fibre of $G$. We also provide a short proof for
the existence of cokernels and quotients of finite and flat group schemes over
any Dedekind ring.

18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org