Work

Uniform Diameter and Non-collapsing Estimates for Kähler Metrics

Year: 2026

Type: article

Abstract: We prove a uniform diameter estimate and a uniform local non-collapsing of volumes for a large family of Kähler metrics generalizing those obtained recently by Guo-Phong-Song-Sturm. We treat also similar questions in the singular setting.

Source: Journal of Geometric Analysis

DOI: 10.1007/s12220-026-02322-2

Author: Duc-Viet Vu

Institution: University of Cologne

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche, Universität zu Köln

Awards: Quantization, singularities, and holomorphic dynamics, Durchschnittstheorie von positiven geschlossenen Strömen

OpenAlex ID: W7124424563

FWCI: 10.61

Cites: 42

Cited by: 1

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