A Family of Conformally Asymmetric Riemann surfaces

Brent Everitt

doi:10.1017/S0017089500032109

A Family of Conformally Asymmetric Riemann surfaces

Brent Everitt

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We give explicit examples of asymmetric Riemann surfaces (that is, Riemann surfaces with trivial conformal automorphism group) for all genera g >= 3. The technique uses Schreier coset diagrams to construct torsion-free subgroups in groups of signature (0; 2,3,r) for certain values of r.

Original language	Undefined/Unknown
Pages (from-to)	221-225
Number of pages	5
Journal	Glasgow Math J
Volume	39
DOIs	https://doi.org/10.1017/S0017089500032109
Publication status	Published - 1997

Keywords

Algebra, Pure Mathematics

Access to Document

10.1017/S0017089500032109

http://dx.doi.org/10.1017/S0017089500032109

Cite this

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title = "A Family of Conformally Asymmetric Riemann surfaces",

abstract = "We give explicit examples of asymmetric Riemann surfaces (that is, Riemann surfaces with trivial conformal automorphism group) for all genera g >= 3. The technique uses Schreier coset diagrams to construct torsion-free subgroups in groups of signature (0; 2,3,r) for certain values of r.",

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year = "1997",

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AB - We give explicit examples of asymmetric Riemann surfaces (that is, Riemann surfaces with trivial conformal automorphism group) for all genera g >= 3. The technique uses Schreier coset diagrams to construct torsion-free subgroups in groups of signature (0; 2,3,r) for certain values of r.

KW - Algebra, Pure Mathematics

U2 - 10.1017/S0017089500032109

DO - 10.1017/S0017089500032109

M3 - Article

VL - 39

SP - 221

EP - 225

JO - Glasgow Math J

JF - Glasgow Math J

ER -