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On Yau sequence over complete intersection surface singularities of Brieskorn type

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Abstract

In this paper, we study the Yau sequence concerning the minimal cycle over complete intersection surface singularities of Brieskorn type, and consider the relations between the minimal cycle A and the fundamental cycle Z. Further, we also give the coincidence between the canonical cycles and the fundamental cycles from the Yau sequence concerning the minimal cycle.

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Acknowledgements

The author would like to express thanks to Professors Tomohiro Okuma and Tadashi Tomaru for their many useful and valuable advices.

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  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, People’s Republic of China

    Fanning Meng

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  1. Fanning Meng
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Correspondence to Fanning Meng.

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The work is supported by the National Natural Science Foundation of China (11701111; 12031003) and Ministry of Science and Technology of China (2020YFA0712500).

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Meng, F. On Yau sequence over complete intersection surface singularities of Brieskorn type. manuscripta math. (2024). https://doi.org/10.1007/s00229-024-01563-1

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