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arXiv · 1905.13585

The $\partial\bar{\partial}$-lemma under surjective maps

Lingxu Meng
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Abstract

We consider the $\partial\bar{\partial}$-lemma for complex manifolds under surjective holomorphic maps. Furthermore, using Deligne-Griffiths-Morgan-Sullivan's theorem, we prove that a product compact complex manifold satisfies the $\partial\bar{\partial}$-lemma if and only if so do all its components.

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Lingxu Meng. 2021-10-20. The $\partial\bar{\partial}$-lemma under surjective maps. https://doi.org/10.1007/s10473-022-0303-9

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