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C. Maclachlan, W. Harvey (1975)
On Mapping‐Class Groups and Teichmüller SpacesProceedings of The London Mathematical Society
- Publisher
- Oxford University Press
- Copyright
- © London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/S0024609396002640
- Publisher site
- See Article on Publisher Site
Abstract
Abstract We produce a family of algebraic curves (closed Riemann surfaces) Sλ admitting two cyclic groups H1 and H2 of conformal automorphisms, which are topologically (but not conformally) conjugate and such that S / Hi is the Riemann sphere Ĉ. The relevance of this example is that it shows that the subvarieties of moduli space consisting of points parametrizing curves which occur as cyclic coverings (of a fixed topological type) of Ĉ need not be normal. 1991 Mathematics Subject Classification 14H10, 30F10. © London Mathematical Society
Journal
Bulletin of the London Mathematical Society – Oxford University Press
Published: May 1, 1997