Work

Asymptotics of Fubini-Study currents for sequences of line bundles

Year: 2025

Type: article

Abstract: We study the Fubini-Study currents and equilibrium metrics of continuous Hermitian metrics on sequences of holomorphic line bundles over a fixed compact Kähler manifold. We show that the difference between the Fubini-Study currents and the curvature of the equilibrium metric, when appropriately scaled, converges to 0 in the sense of currents. As a consequence, we obtain sufficient conditions for the scaled Fubini-Study currents to converge weakly.

Source: Analysis and Mathematical Physics

DOI: 10.1007/s13324-025-01059-5

Author: Melody Wolff

Institution: Syracuse University

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

OpenAlex ID: W4410215405