Constructibility and Reflexivity in Non-Archimedean geometry
Constructibility and Reflexivity in Non-Archimedean geometry
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非阿基米德几何中的可构造性和自反性
DOI：
10.1093/imrn/rnz247
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发表时间：
2019
影响因子：
1
通讯作者：
John Welliaveetil
中科院分区：
文献类型：
--
作者：
Ildar Gaisin;John Welliaveetil
我们引入了一个概念的构造性与扭转系数的埃塔莱层在一个合适的类进空间。这一概念与经典的通过邻近圈函子的模式的可构造性概念有关。我们使用R的工作。Huber定义了一个进Verdier对偶，并研究了在多大程度上我们有一个六函子形式主义在这种情况下。作为一个应用，我们证明了附近的圈函子交换较低的尖叫。最后，我们试图分类那些层是自反相对于进Verdier对偶。
We introduce a notion of constructibility for étale sheaves with torsion coefficients over a suitable class of adic spaces. This notion is related to the classical notion of constructibility for schemes via the nearby cycles functor. We use the work of R. Huber to define an adic Verdier dual and investigate the extent to which we have a six-functor formalism in this context. As an application, we show that the nearby cycles functor commutes with lower shriek. Lastly, we attempt to classify those sheaves that are reflexive with respect to the adic Verdier dual.