论文标题
某些shimura品种的典范共同学的半透明性
Semisimplicity of étale cohomology of certain Shimura varieties
论文作者
论文摘要
在Fayad和Neková情的基础上，我们表明某些Abelian型Shimura品种的Etale共同体的某个部分是半岛的，假设存在相关的自动形态galois表示，并且可以满足一些良好的特性。该证明将Fayad-Neková列的抽象半径标准与Eichler-Shimura关系结合在一起。
Building on work of Fayad and Nekovář, we show that a certain part of the etale cohomology of some abelian-type Shimura varieties is semisimple, assuming the associated automorphic Galois representations exists, and satisfies some good properties. The proof combines an abstract semisimplicity criterion of Fayad-Nekovář with the Eichler-Shimura relations.
