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An alternative approach on the singular metric on a vector bundle

Published 5 Nov 2020 in math.DG and math.CV | (2011.02725v2)

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.

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