Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex K\"{a}hler manifolds

Yongpan Zou

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arXiv · 2201.11458

Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex K\"{a}hler manifolds

Yongpan Zou

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Abstract

In this paper, we establish a logarithmic vanishing theorem on weakly pseudoconvex K\"ahler manifolds, where the divisor may have infinitely many irreducible components. This result serves as a generalization of Norimatsu's findings on compact K\"ahler manifolds. We derive vanishing theorems for certain direct image sheaves as a direct corollary.

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Yongpan Zou. 2022-01-27. Logarithmic Akizuki--Nakano vanishing theorems on weakly pseudoconvex K\"{a}hler manifolds. https://arxiv.org/abs/2201.11458

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