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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On anticonformal automorphisms of Riemann surfaces with nonembeddable square
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by Antonio F. Costa PDF
Proc. Amer. Math. Soc. 124 (1996), 601-605 Request permission

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
  • MR Author ID: 51935
  • ORCID: 0000-0002-9905-0264
  • Email: antonio.costa@uned.es
  • 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
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 601-605
  • MSC (1991): Primary 30F99
  • DOI: https://doi.org/10.1090/S0002-9939-96-03066-3
  • MathSciNet review: 1301491