Let E and F be vector bundles over a complex protective smooth curve X, and suppose that 0 → E → W → F → 0 is a nontrivial extension. Let G ⊂͟ F be a subbundle and D an effective divisor on X. We give ...

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 ...