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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Fixed points of automorphisms of compact Riemann surfaces and higher-order Weierstrass points


Authors: Ryutaro Horiuchi and Tomihiko Tanimoto
Journal: Proc. Amer. Math. Soc. 105 (1989), 856-860
MSC: Primary 30F35; Secondary 14F07, 14H99
MathSciNet review: 957265
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Abstract | References | Similar Articles | Additional Information

Abstract: 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.


References [Enhancements On Off] (What's this?)

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  • [2] Andrei Duma, Holomorphe Differentiale höherer Ordnung auf kompakten Riemannschen Flächen, Schr. Math. Inst. Univ. Münster (2) 14 (1978), i+40 (German). MR 515153 (80g:14026)
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  • [5] Joseph Lewittes, Automorphisms of compact Riemann surfaces, Amer. J. Math. 85 (1963), 734–752. MR 0160893 (28 #4102)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1989-0957265-2
PII: S 0002-9939(1989)0957265-2
Article copyright: © Copyright 1989 American Mathematical Society