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Bounds of the multiplicity of abelian quotient complete intersection singularities

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Abstract

In this paper we investigate the multiplicity and the log canonical threshold of abelian quotient complete intersection singularities in terms of the notion of special datum. Moreover we give bounds of the multiplicity of abelian quotient complete intersection singularities.

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Acknowledgements

The author would like to thank Professor Shihoko Ishii and Professor Shunsuke Takagi for valuable conversations. The author is partially supported by JSPS Grant-in-Aid for Early-Career Scientists 19K14496 and the Iwanami Fujukai Foundation.

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  1. Department of Mathematics, College of Humanities and Sciences, Nihon University, 3-25-40 Sakurajosui, Setagaya-Ku, Tokyo, 156-8550, Japan

    Kohsuke Shibata

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  1. Kohsuke Shibata
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Correspondence to Kohsuke Shibata.

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Shibata, K. Bounds of the multiplicity of abelian quotient complete intersection singularities. manuscripta math. 166, 535–560 (2021). https://doi.org/10.1007/s00229-020-01261-8

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  • DOI: https://doi.org/10.1007/s00229-020-01261-8

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