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arXiv · 2409.16836

Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate

Manli Liu·Guokuan Shao·Wenxuan Wang
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Abstract

In this paper, we establish strong holomorphic Morse inequalities on non-compact manifolds under the condition of optimal fundamental estimates. We show that optimal fundamental estimates are satisfied and then strong holomorphic Morse inequalities hold true in various settings.

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Manli Liu, Guokuan Shao, Wenxuan Wang. 2024-09-25. Strong holomorphic Morse inequalities on non-compact complex manifolds with optimal fundamental estimate. https://arxiv.org/abs/2409.16836

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