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arXiv · 2406.06242

Some remarks on the generalized Hertling conjecture for Tjurina spectrum

Seung-Jo Jung·In-Kyun Kim·Morihiko Saito·Youngho Yoon
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Abstract

We study the original version of the generalized Hertling conjecture on the variance of the Tjurina spectral numbers, which was proposed by Shi, Wang, and Zuo, and provide a sufficient condition for the original conjecture to fail, employing a theorem of Hertling in an essential way. We calculate certain examples using some codes in Singular.

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Seung-Jo Jung, In-Kyun Kim, Morihiko Saito, Youngho Yoon. 2024-06-10. Some remarks on the generalized Hertling conjecture for Tjurina spectrum. https://arxiv.org/abs/2406.06242

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