2024/10/11 by Wolff, Melody
Mathematics · Physics and Astronomy · Computer Science · #Spectral Theory in Mathematical Physics #Electromagnetic Scattering and Analysis #Advanced Mathematical Modeling in Engineering
paper · pdf · doi:10.48550/arxiv.2410.09265
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.