Acta mathematica scientia,Series B ›› 2025, Vol. 45 ›› Issue (2): 514-524.doi: 10.1007/s10473-025-0213-8

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A VECTOR BUNDLE VALUED MIXED HARD LEFSCHETZ THEOREM

Zeng Chen, Guanxiang Wang*   

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China
  • Received:2023-12-07 Online:2025-03-25 Published:2025-05-08
  • Contact: *Guanxiang Wang, E-mail: wgx0511@mail.ustc.edu.cn
  • About author:Zeng Chen, E-mail: ustcchze@mail.ustc.edu.cn
  • Supported by:
    The research was supported by the National key R and D Program of China 2020YFA0713100 and the NSFC (12141104, 12371062 and 12431004).

Abstract: In this paper, we obtain a vector bundle valued mixed hard Lefschetz theorem. The argument is mainly based on the works of Tien-Cuong Dinh and Viêt-Anh Nguyên.

Key words: hard Lefschetz theorem, holomorphic vector bundle, Hermitian flat vector bundle

CLC Number: 

  • 53C07
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