4.3 Article

Levi problem and semistable quotients

Journal

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
Volume 58, Issue 11, Pages 1517-1525

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/17476933.2011.592579

Keywords

Stein manifold; semistable quotient; pseudoconvex domain; envelope of holomorphy

Categories

Funding

  1. Deutsche Forschungsgemeinschaft
  2. Russian Foundation for Basic Research
  3. programme 'Leading scientific schools of Russia'

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A complex space X is in class ?(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 ?(G).

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