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This analysis confirms the Hertling conjecture connections between spectrum and singularities, suggesting implications for topological structures.
Spectrum is an important numerical invariant of an isolated hypersurface singularity, connecting its topological and analytic structures. The well-known Hertling conjecture tells the relation of range and variance of exponents, i.e. elements of spectrum. In this paper, we verify the Hertling conjecture for trimodal singularities.
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Shi et al. (2025) studied this question.
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