On the coherence of the L 2 subsheaf for a singular Hermitian metric whose determinant has analytic singularities

Yongpan Zou

doi:10.5802/aif.3782

March 26, 2026Annales de l’institut FourierOpen Access

On the coherence of the L 2 subsheaf for a singular Hermitian metric whose determinant has analytic singularities

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Key Points

The research aims to investigate the coherence of the L2 subsheaf associated with a specific class of singular Hermitian metrics.
Analyzed locally square integrable holomorphic sections
Examined vector bundles with semi-positive curved singular Hermitian metrics
Studied the induced determinant metrics for singularities
Confirmed coherence of the L2 subsheaf
Identified analytic singularities within the determinant metric
Demonstrated implications for understanding vector bundles with singular Hermitian metrics

Implication

Confirms coherence of L2 subsheaf in vector bundles, indicating implications for singular metrics.

Abstract

We study the sheaf of the locally square integrable holomorphic section of a vector bundle with semi-positive curved singular Hermitian metric. We confirm the coherence when its induced determinant metric has analytic singularities.

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Cite This Study

Yongpan Zou (2026) studied this question.

synapsesocial.com/papers/69c7724e8bbfbc51511e2a95 https://doi.org/10.5802/aif.3782

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On the coherence of the L 2 subsheaf for a singular Hermitian metric whose determinant has analytic singularities

Key Points

Implication

Abstract

Discussion

Cite This Study

On the coherence of the L 2 subsheaf for a singular Hermitian metric whose determinant has analytic singularities

Key Points

Implication

Abstract

Discussion

Cite This Study

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