  We construct the space of solutions to the elliptic Monge-Ampere equation
det(D^2 u)=1 in the plane R^2 with n points removed. We show that, modulo
equiaffine transformations and for n>1, this space can be seen as an open
subset of R^{3n-4}, where the coordinates are described by the conformal
equivalence classes of once punctured bounded domains in the complex plane of
connectivity n-1. This approach actually provides a constructive procedure that
recovers all such solutions to the Monge-Ampere equation, and generalizes a
theorem by K. Jorgens.
