J. Fu, H. Wang, J. Wu, “From Kähler hyperbolicity to balanced hyperbolicity”, Trudy Matematicheskogo Instituta imeni V.A. Steklova

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Trudy Matematicheskogo Instituta imeni V.A. Steklova, Forthcoming paper
DOI: https://doi.org/10.4213/tm4486 (Mi tm4486)

From Kähler hyperbolicity to balanced hyperbolicity

J. Fu^a, H. Wang^a, J. Wu^b

^a School of Mathematical Sciences, Fudan University
^b School of Mathematics, Shanghai University of Finance and Economics

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DOI: https://doi.org/10.4213/tm4486

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.

Keywords: Hyperbolicity, Positivity, Birational invariant

Funding agency	Grant number
National Natural Science Foundation of China	12141104 12201381
Fu is supported by NSFC grant 12141104; Wu is supported by NSFC grant 12201381.

Received: May 5, 2025
Revised: June 2, 2025
Accepted: July 9, 2025

Document Type: Article

MSC: 32Q15, 32J25, 32J27

Language: Russian

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https://www.mathnet.ru/eng/tm4486

https://doi.org/10.4213/tm4486

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Труды Математического института имени В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

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