Abstract
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.
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References
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© 1993 Springer Science+Business Media New York
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Ohsawa, T. (1993). The Existence of Right Inverses of Residue Homomorphisms. In: Ancona, V., Silva, A. (eds) Complex Analysis and Geometry. The University Series in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9771-8_11
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DOI: https://doi.org/10.1007/978-1-4757-9771-8_11
Publisher Name: Springer, Boston, MA
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