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Proceedings of the American Mathematical Society

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On anticonformal automorphisms of Riemann
surfaces with nonembeddable square


Author: Antonio F. Costa
Journal: Proc. Amer. Math. Soc. 124 (1996), 601-605
MSC (1991): Primary 30F99
MathSciNet review: 1301491
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Abstract: In this paper we present an example of an anticonformal automorphism whose square has prime order and is not embeddable. We prove that every embeddable automorphism of odd order of a compact Riemann surface is the square of an orientation-reversing self-homeomorphism. Finally we study whether a conformal involution is the square of an orientation-reversing automorphism.


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Additional Information

Antonio F. Costa
Email: antonio.costa@uned.es

DOI: https://doi.org/10.1090/S0002-9939-96-03066-3
Received by editor(s): December 30, 1993
Received by editor(s) in revised form: April 29, 1994, and September 16, 1994
Additional Notes: The author was partially supported by DGICYT PB 92-0716 and EU project CHRX-CT93-408.
Communicated by: Albert Baernstein II
Article copyright: © Copyright 1996 American Mathematical Society