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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Volumes of 3-ball quotients as intersection numbers


Author: Martin Deraux
Journal: Trans. Amer. Math. Soc. 373 (2020), 343-383
MSC (2010): Primary 22E40; Secondary 32M15, 14N20
DOI: https://doi.org/10.1090/tran/7925
Published electronically: August 20, 2019
MathSciNet review: 4042878
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Abstract: We give an explicit description of the 3-ball quotients constructed by Couwenberg-Heckman-Looijenga and deduce the value of their orbifold Euler characteristics. For each lattice, we also give a presentation in terms of generators and relations.


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Additional Information

Martin Deraux
Affiliation: Institut Fourier, Université Grenoble Alpes, 38610 Gières, France

DOI: https://doi.org/10.1090/tran/7925
Received by editor(s): March 15, 2018
Received by editor(s) in revised form: May 2, 2019, and May 25, 2019
Published electronically: August 20, 2019
Article copyright: © Copyright 2019 American Mathematical Society