论文标题
算术喷气空间
Arithmetic jet spaces
论文作者
论文摘要
我们扩展了Borger的代数射流空间的构建,以允许任意延长序列,阐明Borger's和Buium's Jet Space之间的关系,并在扩展意义上进行比较。结果,我们加强了Greenberg的转换与特殊纤维(包括受损情况)的特殊纤维之间关系的结果。
We extend Borger's construction of algebraic jet spaces to allow for an arbitrary prolongation sequence, clarify the relation between Borger's and Buium's jet spaces and compare them in the extended sense. As a result, we strengthen a result of Buium on the relation between Greenberg's transform and the special fiber of jet spaces, including the ramified case.