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AROUND THE NEARBY CYCLE FUNCTOR FOR ARITHMETIC -MODULES
Nagoya Mathematical Journal ( IF 0.8 ) Pub Date : 2019-08-28 , DOI: 10.1017/nmj.2019.23 TOMOYUKI ABE
Nagoya Mathematical Journal ( IF 0.8 ) Pub Date : 2019-08-28 , DOI: 10.1017/nmj.2019.23 TOMOYUKI ABE
We will establish a nearby and vanishing cycle formalism for the arithmetic $\mathscr{D}$ -module theory following Beilinson’s philosophy. As an application, we define smooth objects in the framework of arithmetic $\mathscr{D}$ -modules whose category is equivalent to the category of overconvergent isocrystals.
中文翻译:
围绕算术模块的附近循环函数
我们将为算术建立一个附近和消失的循环形式$\mathscr{D}$ - 遵循贝林森哲学的模块理论。作为应用程序,我们在算术框架中定义平滑对象$\mathscr{D}$ -模块,其类别等同于过收敛等晶的类别。
更新日期:2019-08-28
中文翻译:
围绕算术模块的附近循环函数
我们将为算术建立一个附近和消失的循环形式