On the coherence of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> subsheaf for a singular Hermitian metric whose determinant has analytic singularities

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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Publication Details

Journal
Annales de l’institut Fourier
Published
2026-03-26
DOI
https://doi.org/10.5802/aif.3782
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
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article

On the coherence of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> subsheaf for a singular Hermitian metric whose determinant has analytic singularities

Yongpan Zou
Annales de l’institut Fourier
Geometry and complex manifolds
article

On the coherence of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> subsheaf for a singular Hermitian metric whose determinant has analytic singularities

Yongpan Zou
article en

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.

Annales de l’institut Fourier
The University of Tokyo (JP)
Openalex Percentile: Top 5%
Geometry and complex manifolds
DOIOpen Access PDFOpenAlex
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On the coherence of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> subsheaf for a singular Hermitian metric whose determinant has analytic singularities — Yongpan Zou · Annales de l’institut Fourier (2026) | TGRS Research Map | TGRS