Bochner-Hartogs type extension theorem for roots and logarithms of holomorphic line bundles

Details Bochner-Hartogs type extension theorem for roots and logarithms of holomorphic line bundles Bochner-Hartogs type extension theorem for roots and logarithms of holomorphic line bundles

2011-04-17

arxiv.org/abs/1104.3317v1

Mathematics

Complex Variables

20 pages, 4 figures

Scientific paper

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.

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