论文标题
规范的WITT形式计划扩展和P-Torsion组
Canonical Witt formal scheme extensions and p-torsion groups
论文作者
论文摘要
我们研究了$ n $ th的算术喷射空间的$ p $ torsion子组,该子组附加到平稳的正式团体计划中。我们表明,上面的$ n $ th射流空间适合我们启动的长度为$ n $的正式方案和$ p $ torsion子组之间的规范短序列。该结果概括了对统一根源的结果。
We study the $n$-th arithmetic jet space of the $p$-torsion subgroup attached to a smooth commutative formal group scheme. We show that the $n$-th jet space above fits in the middle of a canonical short exact sequence between a power of the formal scheme of Witt vectors of length $n$ and the $p$-torsion subgroup we started with. This result generalizes a result of Buium on roots of unity.