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arXiv · 1806.11435

Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology

Lingxu Meng
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Abstract

We prove a theorem of Leray-Hirsch type and give an explicit blow-up formula for Dolbeault cohomology on (\emph{not necessarily compact}) complex manifolds. We give applications to strongly $q$-complete manifolds and the $\partial\bar{\partial}$-lemma.

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Lingxu Meng. 2018-06-29. Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology. https://doi.org/10.1007/s10231-020-00953-y

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