On the galois group associated to a generically etale morphism
On the galois group associated to a generically etale morphism
复制标题
关于与一般 etale 态射相关的伽罗瓦群
DOI：
10.1080/00927878608823344
复制
发表时间：
1986
影响因子：
0.7
通讯作者：
A. Hefez
中科院分区：
文献类型：
--
作者：
E. Ballico;A. Hefez
1.导论.本文研究了代数闭域k上不可约簇之间的一般Ctale态射的某些性质如何转化为与其一般纤维上的态射有关的伽罗瓦群作用的性质。J. Harris在[Ha 11]中使用拓扑方法对k= E进行了这项研究。我们的方法接近于Grothendieck在CSGAll中使用的方法。作为一个应用，我们证明了对于特征不为零的域上的自反不可约射影簇Z，
1. Introduction. In this note we study how some properties of a generically Ctale morphism between irreducible varieties defined over an algebraicall y closed field k, translate into properties of the action of the Galois group associated to the morphism on its general fiber. This study was done for k= E by J. Harris in [Ha 11, using topological methods. Our methods are close to those used by Grothendieck in CSGAll. As an application we show that for a reflexive irreducible projective variety Z over a field of characteristic not