The geometry of the hyperelliptic involution in genus two
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- by Andrew Haas and Perry Susskind PDF
- Proc. Amer. Math. Soc. 105 (1989), 159-165 Request permission
Abstract:
The hyperelliptic involution of a genus two Riemann surface leaves invariant every simple closed geodesic on the surface. This property is not possessed by any other automorphism of a compact Riemann surface and is related to the effectiveness of the action of the mapping class group of a surface on Teichmüller space.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 159-165
- MSC: Primary 30F10; Secondary 32J99
- DOI: https://doi.org/10.1090/S0002-9939-1989-0930247-2
- MathSciNet review: 930247