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Deformations of Canonical Bundle for Smooth Weakly Kähler Morphisms
Let π: \mathcal X \rightarrow Δbe a smooth proper family of compact complex manifolds such that the central fiber \mathcal X_0 is Kähler. Then all the fibers close to 0 are Kähler and π is a weakly Kähler morphism, even if \mathcal X is not a Kähler space. In this paper we show that if dim \mathcal
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