Bounds on the number of holomorphic maps of compact Riemann surfaces
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Abstract:
We give bounds on the number of nonconstant holomorphic maps of compact Riemann surfaces of genera $>1$.References
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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