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2 | Corrected misprints, explained example. | ||
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Let $V/G$ be the orbit space of a finite group $G$ of automorphisms of a complex projective variety $V$. Is $V/G$ a projective variety? Example: $V$ V/G$ is the space of sets in complex projective $n$-space $P$, of cardinality $\le k$. Here $V=P\times\dots\times P$ ($k$ factors) and $G$ is the permutation group on $k$ letters. |
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Orbit spaces of finite groups acting on projective varietiesLet $V/G$ be the orbit space of a finite group $G$ of automorphisms of a complex projective variety $V$. Is $V/G$ a projective variety? Example: $V$ is the space of sets in complex projective $n$-space of cardinality $\le k$.
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