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Invariant theory deals with an algebraic, geometric or analytic structure $X$, submitted to the action of an (algebraic) group $G$. It studies $G$-invariant elements of $X$ as well as the set of $G$-orbits.

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Does every faithful action on a scheme act freely on a dense open subset?

Disclaimer: I have asked this question on math exchange a week ago (here), but sadly to no avail. So I decided to escalate my question: Let $G$ be a finite group acting faithfully on a smooth quasi-pr …
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