Fixed Points of Automorphisms of Compact Riemann Surfaces and Higher-Order Weierstrass Points

Ryutaro Horiuchi, Tomihiko Tanimoto
1989 Proceedings of the American Mathematical Society  
A sufficient condition for fixed points of an automorphism of prime order on a compact Riemann surface to be higher-order Weierstrass points is given. This leads us to a complete study of the cases where the prime orders are small.
doi:10.2307/2047043 fatcat:x5u35tcdurfvbi6g3ix5lvl7gu