A relative Shafarevich theorem
代数几何
2007-05-23 v1
摘要
Suppose given a Galois etale cover Y -> X of proper non-singular curves over an algebraically closed field k of prime characteristic p. Let H be its Galois group, and G any finite extension of H by a p-group P. We give necessary and sufficient conditions on G to be the Galois group of an etale cover of X dominating Y -> X.
引用
@article{arxiv.math/0204088,
title = {A relative Shafarevich theorem},
author = {Niels Borne},
journal= {arXiv preprint arXiv:math/0204088},
year = {2007}
}
备注
13 pages