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Unpublished Paper
Counting Ovals on a Symmetric Riemann Surface
Mathematical Sciences Technical Reports (MSTR)
  • Sean A Broughton, Rose-Hulman Institute of Technology
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Let S be a compact Riemann surface without boundary. A symmetry of S is an anti-conformal, involutary automorphism. Its fixed point set is a disjoint union of circles, each of which is called an oval. A method is presented for counting the ovals of a symmetry when S admits a large group G of automorphisms. The method involves only calculations in G, based on the geometric description of S/G, and the knowledge of the action of the symmetry on G.

MSTR 97-04

Citation Information
Sean A Broughton. "Counting Ovals on a Symmetric Riemann Surface" (1997)
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