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arXiv · 2303.16239

$\partial\bar\partial$-lemmas and a conjecture of O. Fujino

Junyan Cao·Mihai Păun
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Abstract

It contains the proof of a very general $\partial\bar\partial$-lemma, together with a decomposition theorem for currents with values in a (singular) Hermitian line bundle. As a corollary, we establish the K\"ahler version on an injectivity theorem due to O. Fujino in the projective case.

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Junyan Cao, Mihai Păun. 2023-03-28. $\partial\bar\partial$-lemmas and a conjecture of O. Fujino. https://arxiv.org/abs/2303.16239

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