论文标题
完美素评估环的几乎纯度定理的另一个证明
Another proof of the almost purity theorem for perfectoid valuation rings
论文作者
论文摘要
几乎纯度定理是完美素空间的几何形状的核心，并且在代数和几何形状中具有许多应用。众所周知，在基本环是一个完美的体值环的情况下，该结果具有几种不同的证据。我们通过利用Frobenius地图下的Faltings归一长度的行为来提供新的证明。
The almost purity theorem is central to the geometry of perfectoid spaces and has numerous applications in algebra and geometry. This result is known to have several different proofs in the case that the base ring is a perfectoid valuation ring. We give a new proof by exploiting the behavior of Faltings' normalized length under the Frobenius map.
