Pushout of quasi-finite and flat group schemes over a Dedekind ring

Details Pushout of quasi-finite and flat group schemes over a Dedekind ring Pushout of quasi-finite and flat group schemes over a Dedekind ring

2012-04-09

arxiv.org/abs/1204.1913v1

Mathematics

Algebraic Geometry

18 pages, preliminary version

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Pushout of quasi-finite and flat group schemes over a Dedekind ring does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pushout of quasi-finite and flat group schemes over a Dedekind ring, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pushout of quasi-finite and flat group schemes over a Dedekind ring will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-652168