Abstract
The Serre duality for a holomorphic vector bundle over a compact, complex manifold still holds over a compact, strongly pseudo-convex manifold $M$. This duality theorem is a vector bundle version of the Serre duality obtained by N. Tanaka in [3] for ordinary $(p, q)$-forms on $M$.
Citation
Mitsuhiro Itoh. Takanari Saotome. "The Serre duality theorem for holomorphic vector bundles over a strongly pseudo-convex manifold." Tsukuba J. Math. 31 (1) 197 - 204, June 2007. https://doi.org/10.21099/tkbjm/1496165121
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