$L^2$ extension of $\bar\partial$-closed forms on weakly pseudoconvex K\"ahler manifolds

Jian Chen; Sheng Rao

$L^2$ extension of $\bar\partial$-closed forms on weakly pseudoconvex K\"ahler manifolds

Complex Variables 2021-01-27 v2

Authors: Jian Chen , Sheng Rao

Abstract

Combining V. Koziarz's observation about the regularity of some modified section related to the initial extension with J. McNeal--D. Varolin's regularity argument, we generalize two theorems of McNeal--Varolin for the $L^2$ extension of $\bar\partial$ -closed high-degree forms on a Stein manifold to the weakly pseudoconvex K\"ahler case under mixed positivity conditions.

Keywords

l2 extension barpartial-closed forms weakly pseudoconvex kahler manifolds stein manifolds mixed positivity

Cite

@article{arxiv.2009.14101,
  title  = {$L^2$ extension of $\bar\partial$-closed forms on weakly pseudoconvex K\"ahler manifolds},
  author = {Jian Chen and Sheng Rao},
  journal= {arXiv preprint arXiv:2009.14101},
  year   = {2021}
}

Comments

An inaccuracy corrected

Related papers

View all related →