Syntomic regulators andp-adic integration I: Rigid syntomic regulators
Syntomic regulators andp-adic integration I: Rigid syntomic regulators
复制标题
Syntomic 调节器和 p-adic 集成 I：刚性 Syntomic 调节器
DOI：
10.1007/bf02834843
复制
发表时间：
2000
影响因子：
1
通讯作者：
Amnon Besser
中科院分区：
文献类型：
--
作者：
Amnon Besser
我们构造了一种新的自同调，称为刚性自同调，用于AP-ady域的整数环上的光滑格式。这个版本比以前的结构更精致，自然地映射到大多数结构。我们将k-理论中的调节子构造为刚性上同调。我们还定义了一种“修正的”上同调，它在显式计算中表现得更好，但在大多数感兴趣的情况下与刚性上同调同构。
We construct a new version of syntomic cohomology, called rigid syntomic cohomology, for smooth schemes over the ring of integers of ap-adic field. This version is more refined than previous constructions and naturally maps to most of them. We construct regulators fromK-theory into rigid syntomic cohomology. We also define a “modified” syntomic cohomology, which is better behaved in explicit computations yet is isomorphic to rigid syntomic cohomology in most cases of interest.