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

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arxiv 2409.16836 v2 pith:RNX6PDDX submitted 2024-09-25 math.CV math.DG

Manli Liu , Guokuan Shao , Wenxuan Wang This is my paper · ORCID
classification math.CVmath.DG
keywords fundamentalholomorphicinequalitiesmorseoptimalstrongestimatesmanifolds
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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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