论文标题
Poincaré二元性刚性分析性hyodo-kato理论
Poincaré duality for rigid analytic Hyodo--Kato theory
论文作者
论文摘要
本文的目的是通过刚性的分析方法建立对可分析方案的紧凑支持。为此，我们在紧凑的支持下介绍了几种类型的对数刚性的共同体。此外，我们表明（刚性）Hyodo-kato共同学和hyodo-kato图中引入的其他结构与Poincaré二元性兼容。与晶体方法相比，这些结构是显式但通用的，因此适合计算。
The purpose of this paper is to establish Hyodo--Kato theory with compact support for semistable schemes through rigid analytic methods. To this end we introduce several types of log rigid cohomology with compact support. moreover we show that additional structures on the (rigid) Hyodo--Kato cohomology and the Hyodo--Kato map introduced in our previous paper are compatible with Poincaré duality. Compared to the crystalline approach, the constructions are explicit yet versatile, and hence suitable for computations.
