English

Obstructions of extension of vector bundles

Algebraic Geometry 2022-10-04 v1

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.

Keywords

Cite

@article{arxiv.2210.00195,
  title  = {Obstructions of extension of vector bundles},
  author = {Vladimir Baranovsky and Hongseok Chang},
  journal= {arXiv preprint arXiv:2210.00195},
  year   = {2022}
}