Division Theorems for Exact Sequences

Details Division Theorems for Exact Sequences Division Theorems for Exact Sequences

2011-02-19

arxiv.org/abs/1102.3950v3

Mathematics

Differential Geometry

45 pages, no figure

Scientific paper

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.

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