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Leray-Hirsch theorem and blow-up formula for Dolbeault cohomology
Published 29 Jun 2018 in math.AG and math.DG | (1806.11435v6)
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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