English

On the Ohsawa-Takegoshi extension theorem

Complex Variables 2020-02-13 v1 Algebraic Geometry Differential Geometry

Abstract

We establish a new extension result for twisted canonical forms defined on a hypersurface with simple normal crossings of a projective manifold. Some of the examples presented in the appendix are showing that the bounds we obtain for the extension are sharp.

Keywords

Cite

@article{arxiv.2002.04968,
  title  = {On the Ohsawa-Takegoshi extension theorem},
  author = {Junyan Cao and Mihai Paun},
  journal= {arXiv preprint arXiv:2002.04968},
  year   = {2020}
}

Comments

Comments welcome. Appendix by Bo Berndtsson

R2 v1 2026-06-23T13:39:32.248Z