English

On the obstruction to extending a vector bundle from a submanifold

Differential Geometry 2020-07-27 v1 Complex Variables

Abstract

For the first obstruction to extending a holomorphic vector bundle from a submanifold of a complex manifold found by Griffiths we give an explicit formula in terms of the Atiyah class of the bundle.

Keywords

Cite

@article{arxiv.2007.12461,
  title  = {On the obstruction to extending a vector bundle from a submanifold},
  author = {Alexey V. Gavrilov},
  journal= {arXiv preprint arXiv:2007.12461},
  year   = {2020}
}

Comments

4 pages

R2 v1 2026-06-23T17:22:27.095Z