What question did this study set out to answer?

The research aims to investigate the coherence of the L2 subsheaf associated with a specific class of singular Hermitian metrics.

March 28, 2026Open Access

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

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

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.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Authors

Yongpan Zou

Journals

Annales de l’institut Fourier

Actions

Institutions

The University of Tokyo

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

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

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study

Also consider

Also consider