Some remarks on the generalized Hertling conjecture for Tjurina spectrum
Algebraic Geometry
2026-05-29 v9
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.
Cite
@article{arxiv.2406.06242,
title = {Some remarks on the generalized Hertling conjecture for Tjurina spectrum},
author = {Seung-Jo Jung and In-Kyun Kim and Morihiko Saito and Youngho Yoon},
journal= {arXiv preprint arXiv:2406.06242},
year = {2026}
}