Note on the singular Hermitian metrics with analytic singularities

2022/09/12 by Yongpan Zou, Zou, Yongpan
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Differential Geometry Research #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2209.05053

openalex publication_date 2022/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• Approximations and examples of singular Hermitian metrics on vector bundles
• Singular Hermitian metrics with isolated singularities
• Singular hermitian metrics on holomorphic vector bundles
• Nadel-Nakano vanishing theorems of vector bundles with singular Hermitian metrics
• Singular hermitian metrics on vector bundles