An alternative approach on the singular metric on a vector bundle
Jingcao Wu
Abstract
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Jingcao Wu
Abstract
Open-access reader
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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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.
Key concepts: Vector bundle, Metric (unit), Mathematics, Pure mathematics, Topology (electrical circuits), Computer science, Combinatorics, Business