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Questions on group theory which concern finite groups.

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If a subgroup H of a finite group G acts freely on a variety, can the G-Hilbert scheme be co...

Let $X$ be a smooth quasi projective variety over $\mathbb{C}$. Let $G$ be a finite abelian group acting via automorphisms on $X$. Denote by $G$-$\text{Hilb}(X)$ the subscheme of the Hilbert scheme o …
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