线束序列的fubini -研究电流的渐近性

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-05-08 DOI:10.1007/s13324-025-01059-5

Melody Wolff

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引用次数: 0

摘要

研究了固定紧Kähler流形上全纯线束序列上连续厄密度量的富比尼-研究流和平衡度量。我们表明，富比尼研究电流和平衡度规的曲率之间的差异，当适当缩放时，在电流的意义上收敛于0。因此，我们得到了缩放后的Fubini-Study电流弱收敛的充分条件。

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Asymptotics of Fubini-Study currents for sequences of line bundles

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.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.