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On the \(\partial {{\bar{\partial }}}\)-Lemma and Bott-Chern cohomology with local coefficients

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Abstract

A Frölicher-type inequality for Bott-Chern cohomology and its relation with \(\partial {{\bar{\partial }}}\)-lemma were introduced in [1]. In this paper, we generalize these results to the cohomology groups with coefficients in flat complex vector bundles.

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References

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Acknowledgements

The research was supported by the project “Analysis and Geometry on Bundle” of Ministry of Science and Technology of the People’s Republic of China, No.SQ2020YFA070080. The authors are partially supported by NSF in China No.11625106, 11801535 and 11721101. The second author is also supported by“the Fundamental Research Funds for the Central Universities”.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Science and Technology of China, Hefei, 230026, People’s Republic of China

    Lihao Huang, Chuanjing Zhang & Xi Zhang

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  1. Lihao Huang
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  2. Chuanjing Zhang
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  3. Xi Zhang
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Correspondence to Chuanjing Zhang.

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Huang, L., Zhang, C. & Zhang, X. On the \(\partial {{\bar{\partial }}}\)-Lemma and Bott-Chern cohomology with local coefficients. Commun. Math. Stat. 12, 79–90 (2024). https://doi.org/10.1007/s40304-021-00282-3

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  • DOI: https://doi.org/10.1007/s40304-021-00282-3

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