Real Algebraic and Analytic Geometry
Submission: 2005, January 14.
Let X be a symmetric compact Riemann surface whose full group of conformal automorphisms is cyclic. We derive a formula for counting the number of ovals of the symmetries of X in terms of surprisingly few data of the monodromy of the covering of X over X/G, where G is the full group of conformal and anticonformal automorphisms of X.
Mathematics Subject Classification (2000): 30F, 14H.
Keywords and Phrases: Riemann surface, symmetries, ovals.
Full text, 16p.: dvi 62k, ps.gz 152k, pdf 169k.