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Cyclic n-gonal surfaces - computational methods
25th Nordic and 1st British-Nordic Congress of Mathematicians (2009)
  • Sean A Broughton
  • Aaron Wootton, University of Portland
A cyclic n-gonal surfaces S, is a compact Riemann surface with an automorphism h such that the surface S/C has genus 0, where C = <h>. In certain circumstances (weakly malnormal actions, described in the previous talk by Aaron Wootton) C is normal in the automorphism group A=Aut(S) if the genus g of S is sufficiently large. For small genus, when n is composite, unlike the case where n is prime, it is not feasible to determine the exceptional cases where C is not normal by hand and instead it is necessary to resort to computer classification. In this talk, we give an overview of the computational methods used to determine these exceptional cases, and a tabulation of results achieved to date.

  • Riemann surface,
  • cyclic n-gonal surface
Publication Date
June 8, 2009
University of Oslo, Oslo, Norway
Citation Information
Sean A Broughton and Aaron Wootton. "Cyclic n-gonal surfaces - computational methods" 25th Nordic and 1st British-Nordic Congress of Mathematicians (2009)
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This work is licensed under a Creative Commons CC_BY-NC-SA International License.