- #1
jackmell
- 1,807
- 54
Given the function:
[tex]w=\sqrt[3]{(z-5)(z+5)}[/tex]
which is fully-ramified at both the finite singular points and at infinity, how does one create the normal Riemann surface for this function? It's a torus but I do not understand how to map a triple covering onto the torus so that it's fully-ramifed at -5, 5 and at infinity. Maybe though I just don't understand what I'm doing. Is that it?
[tex]w=\sqrt[3]{(z-5)(z+5)}[/tex]
which is fully-ramified at both the finite singular points and at infinity, how does one create the normal Riemann surface for this function? It's a torus but I do not understand how to map a triple covering onto the torus so that it's fully-ramifed at -5, 5 and at infinity. Maybe though I just don't understand what I'm doing. Is that it?