Full paper in PDF:
$% A. F. Costa and A. M. Porto, On two recent geometrical characterizations of hyperellipticity, Rev. Mat. Complut. 17 (2004), 59–65.%$

On Two Recent Geometrical Characterizations of Hyperellipticity

We obtain short and unified new proofs of two recent characterizations of hyperellipticity given by Maskit (2000) and Schaller (2000), as well as a way of establishing a relation between them.

Key words: Riemann surface, hyperelliptic involution, Fuchsian group, hyperbolic polygon.
2000 Mathematics Subject Classification: 30F20, 30F10.