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14.72 (1999)

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Let $X$ be a regular algebraic variety over a field of arbitrary characteristic, and $G$ a finite cyclic group of automorphisms of $X$. Suppose that the fixed point variety $X^G$ of $G$ is a regular hypersurface of $X$ (of codimension 1). Is the quotient variety $X/G$ regular?

Contributor: K. N. Ponomarëv

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