We present a proof of a conjecture of Q. Shi, Y. Wang and H. Zuo claiming that the maximal spectral number of a hypersurface isolated singularity does not belong to the Tjurina spectrum. This follows from the self-duality of the Jacobian ring, which is compatible with the action of f and also with the V-filtration. We also provide a sufficient condition for the generalized Hertling conjecture on the variance of Tjurina spectrum to fail, and calculate some examples using some codes in Singular.
No takes yet. Share an insight, caveat, or question.
Jung et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: