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Matsumura's extension problem for pluricanonical forms in Kähler families I: the smooth and essentially Moishezon cases
In this paper, we study a problem posed by Matsumura on the extension of pluricanonical forms in Kähler families with a relatively nef canonical bundle. We give an affirmative answer in the smooth case, and for one-parameter degenerations under the additional assumption that the relative canonical b
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