Concepts of Yau and canonical cycles are explored in Brieskorn surface singularities, suggesting new connections.
The notion of the Yau cycle was introduced by Konno, and the Yau cycles exhibit a strong connection with canonical cycles in certain types of singularities. In this paper, we consider the Brieskorn complete intersection surface singularities, and give the concrete expression of the canonical cycles KBi using the Yau i-cycles under certain case.
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Fanning Meng (2026) studied this question.
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