Relative $\dbar$-complex and its curvature properties

Xu Wang

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arXiv · 1607.03634

Relative $\dbar$-complex and its curvature properties

Xu Wang

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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.

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Xu Wang. 2016-07-13. Relative $\dbar$-complex and its curvature properties. https://arxiv.org/abs/1607.03634

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