Riemann surfaces

Real and imaginary parts of the continuation of over the . The real part is a faithful representation of the Riemann surface of .

Real part of the continuation of over the . The the logarithmic branch point at and the two square root branch points at are clearly visible. The viewpoint is from the lower half plane.

Real parts of the continuation of over the Riemann sphere. The square root branch points are at the intersection of the equator with the ‐plane.