Work

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

Year: 2026

Type: article

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.

Source: Annales de l’institut Fourier

DOI: 10.5802/aif.3782

Author: Yongpan Zou

Institution: The University of Tokyo

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Japan Society for the Promotion of Science

Award: Positivity and vanishing theorems of direct image of relative canonical bundle

OpenAlex ID: W7140786569

FWCI:

Cites: 14

Cited by:

Related to: