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arXiv · 2603.08247

The Levi problem over generalized Hirzebruch manifolds

S. Ivashkovych·C. Miebach·V. Shevchishin
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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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S. Ivashkovych, C. Miebach, V. Shevchishin. 2026-03-09. The Levi problem over generalized Hirzebruch manifolds. https://arxiv.org/abs/2603.08247

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