ON A CERTAIN FAMILY OF ASYMMETRIC RIEMANN SURFACES WITH THE CYCLIC AUTOMORPHISM GROUP

摘要

A compact Riemann surface X of genus g >= 2 is called asymmetric or pseudo-real if it admits an anticonformal automorphism but no anticonformal involution. The order d = #(delta) of an anticonformal automorphism delta of such a surface is divisible by 4. In the particular case where d = 4, delta is a pseudo-symmetry and the surface is called pseudo-symmetric.