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arxiv: 1607.03634 · v1 · pith:AEMF7VP6new · submitted 2016-07-13 · 🧮 math.CV · math.AG· math.DG

Relative dbar-complex and its curvature properties

Xu Wang This is my paper
classification 🧮 math.CV math.AGmath.DG
keywords curvaturecomplexdbarpropertiesrelativeshallapplicationapplications
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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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