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On anticonformal automorphisms of Riemann surfaces with nonembeddable square
Author(s):
Antonio
F.
Costa
Journal:
Proc. Amer. Math. Soc.
124
(1996),
601-605.
MSC (1991):
Primary 30F99
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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
Affiliation:
Departamento de Matemáticas Fundamentales, Facultad de Ciencias, UNED, 28040 Madrid, Spain
Email:
antonio.costa@uned.es
DOI:
10.1090/S0002-9939-96-03066-3
PII:
S 0002-9939(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
Copyright of article:
Copyright
1996,
American Mathematical Society
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