Some Results on Compact Kähler Manifolds With Elliptic Homotopy Type

IF 1 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2026-08-07 Epub Date: 2026-06-23 DOI:10.1002/mana.70178

Yang Su, Jianqiang Yang

引用次数: 0

Abstract

We show some results of compact Kähler manifolds with elliptic homotopy type. In complex dimension $4$ , we list the Hodge diamonds of compact Kähler manifolds with elliptic homotopy type. In general dimension, we obtain a partial characterization of the Hodge diamonds.

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关于椭圆同伦型紧致Kähler流形的一些结果

给出了椭圆同伦型紧致Kähler流形的一些结果。在复数维度4 $\hskip。本文给出了椭圆同伦型紧形Kähler流形的Hodge菱形。在一般维数上，我们得到了霍奇钻石的部分特征。

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

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index