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On the orders of
automorphisms of a closed Riemann surface
Kenji Nakagawa |
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Vol. 115 (1984), No. 2, 435–443
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Abstract |
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Let S be a closed Riemann surface of genus g (≥ 2). It is known that the maximum value of the orders of automorphisms of S is 4g + 2. In this paper we determine the orders of automorphisms of S which are greater than or equal to 3g, and characterize those Riemann surfaces having the corresponding automorphisms. Except for several cases, such Riemann surfaces are determined uniquely up to conformal equivalence. |
Mathematical Subject Classification 2000
Primary: 30F10
Secondary: 14H15
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Milestones
Received: 28 April 1983
Published: 1 December 1984
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Authors |
| Kenji Nakagawa | |
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