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On variance of exponents for isolated surface singularities with modality ⩽ 2

In memory of Professor Philip Wagreich

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Abstract

Using the theory of the mixed Hodge structure one can define a notion of exponents of a singularity. In 2000, Hertling proposed a conjecture about the variance of the exponents of a singularity. Here, we prove that the Hertling conjecture is true for isolated surface singularities with modality ⩽ 2.

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Authors and Affiliations

  1. Department of Mathematical Science, Tsinghua University, Beijing, 100084, China

    Stephen S. T. Yau

  2. Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China

    HuaiQing Zuo

Authors
  1. Stephen S. T. Yau
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  2. HuaiQing Zuo
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Correspondence to Stephen S. T. Yau.

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Yau, S.S.T., Zuo, H. On variance of exponents for isolated surface singularities with modality ⩽ 2. Sci. China Math. 57, 31–41 (2014). https://doi.org/10.1007/s11425-013-4657-2

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  • DOI: https://doi.org/10.1007/s11425-013-4657-2

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