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Automorphisms and twisted forms of rings of invariants
Published 7 Dec 2022 in math.AG and math.AC | (2212.03772v2)
Abstract: Let $G\subset GL_n(k)$ be a finite subgroup and $k[x_1,\dots, x_n]G\subset k[x_1,\dots, x_n]$ its ring of invariants. We show that, in many cases, the automorphism group of $k[x_1,\dots, x_n]G$ is $k\times$. Version 2: Incorporates parts of arXiv:2210.16265.
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