This article demonstrates vanishing theorems for dual nakano semi-positivity in weakly pseudoconvex manifolds, highlighting dolbeault isomorphisms.
In this article, we get properties for singular (dual) Nakano semi-positivity and obtain vanishing theorems involving L 2 -subsheaves on weakly pseudoconvex manifolds by L 2 -estimates and L 2 -type Dolbeault isomorphisms. As applications, Fujita’s conjecture type theorem with singular Hermitian metrics is presented.
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Yuta Watanabe (2025) studied this question.
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