The Existence of Right Inverses of Residue Homomorphisms

  • Takeo Ohsawa
Part of the The University Series in Mathematics book series (USMA)


Let X be a complex manifold of dimension n and let EX 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.


Line Bundle Curvature Form Holomorphic Vector Bundle Holomorphic Line Bundle Complex Submanifold 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Takeo Ohsawa
    • 1
  1. 1.Department of Mathematics, Faculty of ScienceNagoya UniversityChikusa-ku, Nagoya 464Japan

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