论文标题
还原群的算术理论
Arithmetic Invariant Theory of Reductive Groups
论文作者
论文摘要
在本手稿中，我们在合理的还原群的合理作用下，定义了在交换Unital环上线性还原群的概念，并研究了不变性环的Cohen-Macaulay特性。此外，我们通过研究这些特性在本地研究这些特性，研究了与克鲁尔尺寸二的常规环不同概念的等效性。
In this manuscript, we define the notion of linearly reductive groups over commutative unital rings and study the Cohen-Macaulay property of the ring of invariants under rational actions of a linearly reductive group. Moreover, we study the equivalence of different notions of reductivity over regular rings of Krull dimension two by studying these properties locally.
