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

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-13 DOI:10.1007/s13324-024-00977-0

Taeyong Ahn, Duc-Viet Vu

引用次数: 0

Abstract

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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关于紧凑凯勒流形全形对应的非极性电流的等差数列

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.