Levi problem and semistable quotients

Abstract

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 ${\mathcal{Q}}_G$.

Version 2 - minor edits; 8 pages

References in corpus (1)

• Limiting behavior of trajectories of complex polynomial vector fields

Cited by in corpus (4)

• The Miyaoka-Yau inequality and uniformisation of canonical models
• Complex-analytic quotients of algebraic G-varieties
• Reductive quotients of klt singularities
• Limiting behavior of trajectories of complex polynomial vector fields