2020arXiv (Cornell University)Open access

An alternative approach on the singular metric on a vector bundle

Jingcao Wu

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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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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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Available 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.

Key concepts: Vector bundle, Metric (unit), Mathematics, Pure mathematics, Topology (electrical circuits), Computer science, Combinatorics, Business

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