Author:
Bujalance E.,Cirre F. J.,Rodríguez J.
Abstract
AbstractA compact Riemann surface is called pseudo-real if it admits orientation-reversing automorphisms but none of them has order two. In this paper, we find necessary and sufficient conditions for the existence of an action on a pseudo-real surface of genus $$g\geqslant 2$$
g
⩾
2
of an abelian group containing orientation-reversing automorphisms. Several consequences are obtained, such as the solution of the minimum genus problem for such abelian actions.
Funder
Universidad Nacional de Educacion Distancia
Publisher
Springer Science and Business Media LLC
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