Extension of Jets With $L^2$ Estimates, and an Application

Jeffery D. McNeal; Dror Varolin

Extension of Jets With $L^2$ Estimates, and an Application

Complex Variables 2023-12-21 v3

Authors: Jeffery D. McNeal , Dror Varolin

Abstract

We study the problem of extension of normal jets from a hypersurface, with focus on the growth order of the constant. Using aspects of the standard, twisted approach for $L^2$ extension and of the new approach to $L^2$ extension introduced by Berndtsson and Lempert, we are able to obtain an extension theorem with a constant $C^k$ where $C$ is universal and $k$ is the jet order. We then use the jet extension theorem to extend positively curved singular Hermitian metrics from smooth, deformably pseudoeffective hypersurfaces in projective manifolds.

Keywords

jet extension L^2 estimates hypersurface singular Hermitian metrics projective manifolds extension theorem

Cite

@article{arxiv.1707.04483,
  title  = {Extension of Jets With $L^2$ Estimates, and an Application},
  author = {Jeffery D. McNeal and Dror Varolin},
  journal= {arXiv preprint arXiv:1707.04483},
  year   = {2023}
}

Comments

The main result is incorrect. The authors thought the paper was withdrawn long ago, but something went wrong with the processing in ArXiV

Extension of Jets With $L^2$ Estimates, and an Application

Abstract

Keywords

Cite

Comments

Related papers