关于紧凑凯勒流形全形对应的非极性电流的等差数列

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2024-10-13 DOI:10.1007/s13324-024-00977-0

Taeyong Ahn, Duc-Viet Vu

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引用次数: 0

摘要

让 X 是一个紧凑的 Kähler 流形，其复数维度为 \(k\ge 2\) 和 \(f: X \rightarrow X\) 是一个全态对应，对同调有简单作用，这样 \(f^{-1}\) 也是一个全态对应。我们证明了在 f 的迭代下非极性电流的归一化回拉序列收敛于与 f 相关的格林电流。

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Equidistribution for non-pluripolar currents with respect to holomorphic correspondences of compact Kähler manifolds

Let X be a compact Kähler manifold of complex dimension \(k\ge 2\) and \(f: X \rightarrow X\) a holomorphic correspondence with simple action on cohomology such that \(f^{-1}\) is also a holomorphic correspondence. We prove that the sequence of normalized pull-backs of a non-pluripolar current under iterates of f converges to the Green current associated with f.

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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.