Generalised Kähler structure on $ \mathbb{C}P^2 $ and elliptic functions

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2019-11-28 DOI:10.3934/jgm.2023009

F. Bonechi, J. Qiu, M. Tarlini

引用次数: 0

Abstract

We construct a toric generalised Kähler structure on $ \mathbb{C}P^2 $ and show that the various structures such as the complex structure, metric etc are expressed in terms of certain elliptic functions. We also compute the generalised Kähler potential in terms of integrals of elliptic functions.

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$ \mathbb{C}P^2 $和椭圆函数上的广义Kähler结构

我们在$ \mathbb{C}P^2 $上构造了一个环形广义Kähler结构，并证明了各种结构如复结构、度量等都是用一定的椭圆函数表示的。我们也用椭圆函数的积分来计算广义Kähler势。

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.