The Levi problem over generalized Hirzebruch manifolds
Abstract
We review classical methods to solve the Levi problem in the presence of symmetries, established by Hirschowitz and by Grauert-Remmert-Ueda. We then illustrate these methods by solving the Levi problem in some new situations, namely generalized Hirzebruch manifolds and primary Hopf surfaces of non-diagonal type.
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