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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Fixed points of automorphisms of compact Riemann surfaces and higher-order Weierstrass points
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by Ryutaro Horiuchi and Tomihiko Tanimoto PDF
Proc. Amer. Math. Soc. 105 (1989), 856-860 Request permission

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
  • Robert D. M. Accola, On generalized Weierstrass points on Riemann surfaces, Modular functions in analysis and number theory, Lecture Notes Math. Statist., vol. 5, Univ. Pittsburgh, Pittsburgh, PA, 1983, pp. 1–19. MR 732958
  • Andrei Duma, Holomorphe Differentiale höherer Ordnung auf kompakten Riemannschen Flächen, Schr. Math. Inst. Univ. Münster (2) 14 (1978), i+40 (German). MR 515153
  • Hershel M. Farkas and Irwin Kra, Riemann surfaces, Graduate Texts in Mathematics, vol. 71, Springer-Verlag, New York-Berlin, 1980. MR 583745
  • Ignacio Guerrero, Automorphisms of compact Riemann surfaces and Weierstrass points, Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978) Ann. of Math. Stud., vol. 97, Princeton Univ. Press, Princeton, N.J., 1981, pp. 215–224. MR 624815
  • Joseph Lewittes, Automorphisms of compact Riemann surfaces, Amer. J. Math. 85 (1963), 734–752. MR 160893, DOI 10.2307/2373117
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 105 (1989), 856-860
  • MSC: Primary 30F35; Secondary 14F07, 14H99
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0957265-2
  • MathSciNet review: 957265