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arXiv · 2210.00195

Obstructions of extension of vector bundles

Vladimir Baranovsky·Hongseok Chang
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Abstract

In the holomorphic or algebraic setting we consider a vector bundle E on a smooth subvariety X in a smooth variety Y over a field of characteristic zero. Assuming E extends to the l-th neighborhood of X in Y, we study cohomological obstructions to extending it further to the k-th neighborhood, for k > l.

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Vladimir Baranovsky, Hongseok Chang. 2022-10-01. Obstructions of extension of vector bundles. https://arxiv.org/abs/2210.00195

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