论文标题
正常和不可还原的ADIC空间，有限形态的开放性和Stein分解
Normal and Irreducible Adic Spaces, the Openness of Finite Morphisms and a Stein Factorization
论文作者
论文摘要
我们将刚性分析空间的几种基本几何特性转移到ADIC空间的世界中，更准确地说，是ADIC空间的类别，这些空间是在非Archimedean领域上（弱）有限类型的局部（弱）。这包括正态性，不可约性（特别是不可约组件）和Stein分解定理。最值得注意的是，我们表明，在基础和目标空间的轻度假设下，ADIC空间的有限形态是开放的。
We transfer several elementary geometric properties of rigid-analytic spaces to the world of adic spaces, more precisely to the category of adic spaces which are locally of (weakly) finite type over a non-archimedean field. This includes normality, irreducibility (in particular irreducible components) and a Stein factorization theorem. Most notably we show that finite morphisms of adic spaces are open under mild assumptions on the base and target space.
