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Existence of exceptional points for Fuchsian groups of finite coarea


Authors: Toshihiro Nakanishi and Akira Ushijima
Journal: Conform. Geom. Dyn. 24 (2020), 164-176
MSC (2010): Primary 20H10
DOI: https://doi.org/10.1090/ecgd/353
Published electronically: August 26, 2020
MathSciNet review: 4139901
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Abstract: It is shown by Fera that there exists uncountably many exceptional points for cocompact Fuchsian groups. We generalize this result to the case that Fuchsian groups are of finite coarea.


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Additional Information

Toshihiro Nakanishi
Affiliation: Department of Mathematics, Shimane University, Matue 690-8504, Japan
MR Author ID: 225488
Email: tosihiro@riko.shimane-u.ac.jp

Akira Ushijima
Affiliation: Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University, Ishikawa 920-1192, Japan
MR Author ID: 646273
ORCID: 0000-0002-7891-9856
Email: ushijima@se.kanazawa-u.ac.jp

Received by editor(s): September 30, 2019
Received by editor(s) in revised form: June 22, 2020
Published electronically: August 26, 2020
Article copyright: © Copyright 2020 American Mathematical Society