English

Relative $\dbar$-complex and its curvature properties

Complex Variables 2016-07-14 v1 Algebraic Geometry Differential Geometry

Abstract

We shall define the relative \dbar\dbar-complex and study the curvature properties of the associated vector bundles. As an application, we shall prove that Yamaguchi's theory on subharmonicity of the Green operator can be seen as a curvature property of the quotient bundle. A short survey of other recent applications will also be given in this paper.

Keywords

Cite

@article{arxiv.1607.03634,
  title  = {Relative $\dbar$-complex and its curvature properties},
  author = {Xu Wang},
  journal= {arXiv preprint arXiv:1607.03634},
  year   = {2016}
}

Comments

8 pages

R2 v1 2026-06-22T14:53:13.366Z