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arXiv · 2405.07261

A Le Potier-type isomorphism twisted with multiplier submodule sheaves

Yaxiong Liu·Zhuo Liu·Hui Yang·Xiangyu Zhou
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Abstract

In this paper, we obtain a Le Potier-type isomorphism theorem twisted with multiplier submodule sheaves, which relates a holomorphic vector bundle endowed with a strongly Nakano semipositive singular Hermitian metric to the tautological line bundle with the induced metric. As applications, we obtain a Koll\'ar-type injectivity theorem, a Nadel-type vanishing theorem, and a singular holomorphic Morse inequality for holomorphic vector bundles and so on.

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Yaxiong Liu, Zhuo Liu, Hui Yang, Xiangyu Zhou. 2024-05-12. A Le Potier-type isomorphism twisted with multiplier submodule sheaves. https://arxiv.org/abs/2405.07261

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