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arXiv · 2212.12863

Arithmetic Invariant Theory of Reductive Groups

Yidi Wang
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Abstract

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.

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Yidi Wang. 2022-12-25. Arithmetic Invariant Theory of Reductive Groups. https://arxiv.org/abs/2212.12863

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