A Note on Vanishing Theorems on Non-pseudoconvex Complex Manifolds

Abstract

In this paper, the authors introduce a Morse-theoretic condition under which the Levi form is allowed to have negative eigenvalues outside critical locus, and show that the existence of an exhaustion function satisfying such a condition leads to vanishing theorems.

Keywords

Levi form / Vanishing theorems / Dolbeault cohomology / Non-pseudoconvex / 32F10 / 32F32 / 32W05

References

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