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A note on projective normality

A note on projective normality

Let $G$ be any finite group, $G\to GL(V)$ be a representation of $G$, where $V$ is a finite-dimensional vector space over an algebraically closed field $k$. Theorem. Assume that either $char k = 0$ or $char k = p > 0$ with $p \nmid |G|$. Then the quotient variety $\mathbb …