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- Title
Division theorems for exact sequences.
- Authors
Ji, Qingchun
- Abstract
Under certain integrability and geometric conditions, we prove division theorems for the exact sequences of holomorphic vector bundles and improve the results in the case of Koszul complex. By introducing a singular Hermitian structure on the trivial bundle, our results recover Skoda's division theorem for holomorphic functions on pseudoconvex domains in complex Euclidean spaces.
- Subjects
GEOMETRY; HOLOMORPHIC functions; EUCLIDEAN geometry; MANIFOLDS (Mathematics); COHOMOLOGY theory
- Publication
Mathematische Annalen, 2013, Vol 355, Issue 3, p947
- ISSN
0025-5831
- Publication type
Article
- DOI
10.1007/s00208-012-0807-z