Examples of four dimensional cusp singularities

Hiroyasu Tsuchihashi

doi:10.2969/jmsj/75337533

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Examples of four dimensional cusp singularities

Hiroyasu Tsuchihashi

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Keywords: cusp singularity, quadratic cone, reflection

JOURNAL FREE ACCESS

2018 Volume 70 Issue 3 Pages 1047-1062

DOI https://doi.org/10.2969/jmsj/75337533

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Abstract

We give some examples of four dimensional cusp singularities which are not of Hilbert modular type. We construct them, using quadratic cones and subgroups of reflection groups.

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