An alternative approach on the singular metric on a vector bundle

2020/11/05 by Jingcao Wu, Wu, Jingcao · 1 citation
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2011.02725

Abstract

In this paper, we will provide an alternative definition for the singular Hermitian metric on a vector bundle. Moreover, we discuss the Griffiths and Nakano positivities under this circumstance and prove a generalised Griffiths' vanishing theorem.

Citations

• Bergman kernels and the pseudoeffectivity of relative canonical bundles

Cited by

• The harmonic theory on a vector bundle with singular Hermitian metrics and positivity

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