Some remarks on the generalized Hertling conjecture for Tjurina spectrum

Fuente: arXiv
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Auteurs principaux: Jung, Seung-Jo, Kim, In-Kyun, Saito, Morihiko, Yoon, Youngho
Format: Preprint
Publié: 2024
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author Jung, Seung-Jo
Kim, In-Kyun
Saito, Morihiko
Yoon, Youngho
author_facet Jung, Seung-Jo
Kim, In-Kyun
Saito, Morihiko
Yoon, Youngho
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_06242
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Some remarks on the generalized Hertling conjecture for Tjurina spectrum
Jung, Seung-Jo
Kim, In-Kyun
Saito, Morihiko
Yoon, Youngho
Algebraic Geometry
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.
title Some remarks on the generalized Hertling conjecture for Tjurina spectrum
topic Algebraic Geometry
url https://arxiv.org/abs/2406.06242