This analysis calculates fundamental genera and conditions for Kodaira singularities in normal surface triple points over specific curves, suggesting insights into their geometric properties.
In this paper, we study normal surface triple points branched over analytically irreducible singular plane curves. We calculate the fundamental genera of these triple points. Also, we obtain a necessary and sufficient condition for these triple points to be Kodaira singularities.
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Oyu Kodai (2023) studied this question.
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