Levi problem and semistable quotients

Mathematics – Complex Variables

Scientific paper

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Version 2 - minor edits; 8 pages

Scientific paper

A complex space $X$ is in class ${\mathcal Q}_G$ if it is a semistable
quotient of the complement to an analytic subset of a Stein manifold by a
holomorphic action of a reductive complex Lie group $G$. It is shown that every
pseudoconvex unramified domain over $X$ is also in ${\mathcal Q}_G$.

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