On the number of ovals of a symmetry of a compact Riemann surface
Emilio
Bujalance
,
Francisco Javier
Cirre
,
José Manuel
Gamboa
, and
Grzegorz
Gromadzki
Source: Rev. Mat. Iberoamericana Volume 24, Number 2
(2008), 391-405.
Abstract
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 few data of the monodromy of the covering $X\rightarrow X/G$, where $G=\mbox{\rm Aut\/}^\pm X$ is the full group of conformal and anticonformal automorphisms of $X$.
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Permanent link to this document: http://projecteuclid.org/euclid.rmi/1218475347
Zentralblatt MATH identifier: 05361867
Mathematical Reviews number (MathSciNet): MR2459197
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