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

Sergey Ivashkovich

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arXiv · 1104.3317

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

Sergey Ivashkovich

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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.

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Sergey Ivashkovich. 2011-04-17. Bochner-Hartogs type extension theorem for roots and logarithms of holomorphic line bundles. https://arxiv.org/abs/1104.3317

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