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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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Bounds on the number of holomorphic maps of compact Riemann surfaces
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by Masaharu Tanabe PDF
Proc. Amer. Math. Soc. 133 (2005), 3057-3064 Request permission

Abstract:

We give bounds on the number of nonconstant holomorphic maps of compact Riemann surfaces of genera $>1$.
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Additional Information
  • Masaharu Tanabe
  • Affiliation: Department of Mathematics, Tokyo Institute of Technology, Ohokayama, Meguro, Tokyo, 152-8551, Japan
  • Email: tanabe@math.titech.ac.jp
  • Received by editor(s): March 26, 2002
  • Received by editor(s) in revised form: June 2, 2004
  • Published electronically: April 19, 2005
  • Additional Notes: The author’s research was partially supported by the Japan-U.S. Cooperative Science Program
  • Communicated by: Juha M. Heinonen
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 3057-3064
  • MSC (2000): Primary 30F30
  • DOI: https://doi.org/10.1090/S0002-9939-05-07882-2
  • MathSciNet review: 2159785