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Abstract <p> The spectrum is an important numerical invariant of an isolated hypersurface singularity, linking its topological and analytic structures. The well-known Hertling conjecture describes the relation between the range and variance of the exponents, i.e., elements of the spectrum. We compute the spectra of trimodal singularities and verify the Hertling conjecture for them. </p>

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Spectrum and Hertling Conjecture for Trimodal Singularities

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Quan Shi,
  • Yang Wang,
  • Huaiqing Zuo

摘要

Abstract

The spectrum is an important numerical invariant of an isolated hypersurface singularity, linking its topological and analytic structures. The well-known Hertling conjecture describes the relation between the range and variance of the exponents, i.e., elements of the spectrum. We compute the spectra of trimodal singularities and verify the Hertling conjecture for them.