论文标题
一些合理连接的纤维的基本组机
Fundamental group-scheme of some rationally connected fibrations
论文作者
论文摘要
在本文中，我们描述了在Abelian品种上具有合理纤维的适当品种的基本组速度，并在代数封闭的田地上具有合理连接的纤维。我们使用旧的和最新的结果对NORI基本组scheme和有限的群组施加，以证明这种振动的内核是有限的，并且在这种情况下同型精确序列存在。作为应用程序，我们描述了通过曲线连接或与之相关的某些适当品种的基本组式套件。
In this paper we describe the fundamental group-scheme of a proper variety fibered over an abelian variety with rationally connected fibers over an algebraically closed field. We use old and recent results for the Nori fundamental group-scheme, and of finite group-schemes in general to prove that the kernel of such a fibration is finite, and that the homotopy exact sequence holds in this case. As an application, we describe the fundamental group-schemes of certain proper varieties that are connected by curves or are related to them.
