Bochner-Hartogs type extension theorem for roots and logarithms of holomorphic line bundles
Complex Variables
2011-04-19 v1 Algebraic Geometry
Abstract
We prove an extension theorem for roots and logarithms of holomorphic line bundles across strictly pseudoconcave boundaries: they extend in all cases except one, when dimension and Morse index of a critical point is two. In that case we give an explicit description of obstructions to the extension.
Keywords
Cite
@article{arxiv.1104.3317,
title = {Bochner-Hartogs type extension theorem for roots and logarithms of holomorphic line bundles},
author = {Sergey Ivashkovich},
journal= {arXiv preprint arXiv:1104.3317},
year = {2011}
}
Comments
20 pages, 4 figures