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A NEW CHARACTERIZATION OF WIMAN SURFACES
Published online by Cambridge University Press: 27 July 2009
Abstract
Let ℳ be a regular map of genus g>1 and X be the underlying Riemann surface. A reflection of ℳ fixes some simple closed curves on X, which we call mirrors. Each mirror passes through at least two of the geometric points (vertices, face-centers and edge-centers) of ℳ. In this paper we study the surfaces which contain mirrors passing through just two geometric points, and show that only Wiman surfaces have this property.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 80 , Issue 3 , December 2009 , pp. 360 - 368
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2009