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SINGULAR DIRECTIONS IN VEECH SURFACES

Part of: Diophantine approximation, transcendental number theory Riemann surfaces

Published online by Cambridge University Press:  16 September 2022

YAN HUANG Open the ORCID record for YAN HUANG [Opens in a new window]
YAN HUANG*
Affiliation:
Department of Mathematics, Henan University, Kaifeng, China
*
e-mail: huangyan@amss.ac.cn
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Abstract

Singular directions in a Veech surface are shown to be exactly the directions of its saddle connections.

Keywords

singular numberVeech surfacesaddle connection

MSC classification

Primary: 11J70: Continued fractions and generalizations
Secondary: 30F30: Differentials on Riemann surfaces 30F60: Teichmüller theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 107 , Issue 3 , June 2023 , pp. 390 - 397
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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Footnotes

The author was supported by the National Natural Science Foundation of China (Grant No. 11401167 and Grant No. 11871194).

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