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Feb 3, 2010 at 19:31 comment added algori By the way, the Euler characteristic of the quotient by the hyperelliptic involution described in the stankewicz's answer can also be computed using Riemann-Hurwitz: we get ((2-2g)-(2+2g))/2+2+2g=2.
Feb 3, 2010 at 19:25 comment added algori Anweshi -- applying Riemann-Hurwitz we get the Euler characteristic of the quotient: it is (0-4)/2+4=2 (since the images of all singular points are distinct).
Feb 3, 2010 at 19:22 comment added Anweshi This quotient is not a torus?
Feb 3, 2010 at 19:14 history answered algori CC BY-SA 2.5