Relative $\dbar$-complex and its curvature properties
arXiv:1607.03634
Abstract
We shall define the relative $\dbar$-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.
arXiv comment8 pages
References in corpus (6)
- The openness conjecture for plurisubharmonic functions
- Hodge metrics and the curvature of higher direct images
- Hodge metrics and positivity of direct images
- A simple proof of the Ohsawa-Takegoshi extension theorem
- A proof of the Ohsawa-Takegoshi theorem with sharp estimates
- Curvature of higher direct image sheaves and its application on negative-curvature criterion for the Weil-Petersson metric