Division Theorems for Exact Sequences
Differential Geometry
2011-12-02 v3 Complex Variables
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.
Cite
@article{arxiv.1102.3950,
title = {Division Theorems for Exact Sequences},
author = {Qingchun Ji},
journal= {arXiv preprint arXiv:1102.3950},
year = {2011}
}
Comments
45 pages, no figure