On anticonformal automorphisms of Riemann surfaces with nonembeddable square

Costa, Antonio

doi:10.1090/S0002-9939-96-03066-3

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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