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Abstract <p> We give an overview of the study of manifolds possessing certain positive and hyperbolic classes. Starting from Gromov’s Kähler hyperbolicity, we describe some of its applications and some achievements in generalizing it as a birational invariant. </p>

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From Kähler Hyperbolicity to Balanced Hyperbolicity

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月1日

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  • Jixiang Fu,
  • Hongjie Wang,
  • Jingcao Wu

摘要

Abstract

We give an overview of the study of manifolds possessing certain positive and hyperbolic classes. Starting from Gromov’s Kähler hyperbolicity, we describe some of its applications and some achievements in generalizing it as a birational invariant.