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On q-hyperelliptic k-bordered tori

Published online by Cambridge University Press:  25 July 2002

B. Estrada  and
E. Martínez
B. Estrada
Affiliation:
Departamento de Matemáticas Fundamentales, UNED, Senda del Rey s/n, 28040-Madrid, Spain e-mail: bestra@mat.uned.es, emartinez@mat.uned.es
E. Martínez
Affiliation:
Departamento de Matemáticas Fundamentales, UNED, Senda del Rey s/n, 28040-Madrid, Spain e-mail: bestra@mat.uned.es, emartinez@mat.uned.es
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A compact Klein surface X is a compact surface with a dianalytic structure. Such a surface is said to be q-hyperelliptic if it admits an involution \phi , that is an order two automorphism, such that X/ < \phi > has algebraic genus q. A Klein surface of genus 1 and k boundary components is a k-bordered torus.

By means of NEC groups, q-hyperelliptic k-bordered tori are studied and a geometrical description of their associated Teichmüller spaces is given.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 43 , Issue 3 , May 2001 , pp. 343 - 357
Copyright
2001 Glasgow Mathematical Journal Trust

Footnotes

Partially supported by DGICYT PB98-0017