<p>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.</p>

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Strong Holomorphic Morse Inequalities on Non-compact Complex Manifolds with Optimal Fundamental Estimate

  • Manli Liu,
  • Guokuan Shao,
  • Wenxuan Wang

摘要

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.