$\partial\bar\partial$-lemmas and a conjecture of O. Fujino

Junyan Cao; Mihai Păun

$\partial\bar\partial$-lemmas and a conjecture of O. Fujino

Algebraic Geometry 2023-03-30 v1 Complex Variables Differential Geometry

Authors: Junyan Cao , Mihai Păun

Abstract

It contains the proof of a very general $\partial\bar\partial$ -lemma, together with a decomposition theorem for currents with values in a (singular) Hermitian line bundle. As a corollary, we establish the K\"ahler version on an injectivity theorem due to O. Fujino in the projective case.

Keywords

partial bar partial lemma hermitian line bundle currents injective theorem kahler manifold

Cite

@article{arxiv.2303.16239,
  title  = {$\partial\bar\partial$-lemmas and a conjecture of O. Fujino},
  author = {Junyan Cao and Mihai Păun},
  journal= {arXiv preprint arXiv:2303.16239},
  year   = {2023}
}

Comments

Comments welcome! We have decided to split into two parts our previous work arXiv:2012.05063. This is the second part

$\partial\bar\partial$-lemmas and a conjecture of O. Fujino

Abstract

Keywords

Cite

Comments

Related papers