The Existence of Right Inverses of Residue Homomorphisms
Part of the
The University Series in Mathematics
book series (USMA)
Let X be a complex manifold of dimension n and let E→ X be a holomorphic vector bundle. Given a complex submanifold Y⊂X of codimension 1, let res Y,E be the residue homomorphism from H n,0 (X\ Y, E) to H n-1,0 (Y, E/Y), where H p,q (.) denotes the ∂0304-cohomology group of type (p, q). The purpose of this chapter is to establish the following theorem.
KeywordsLine Bundle Curvature Form Holomorphic Vector Bundle Holomorphic Line Bundle Complex Submanifold
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