The space of complete embedded maximal surfaces with isolated singularities in the 3-dimensional Lorentz-Minkowski space

We prove that a complete embedded maximal surface in L-3 = (R-3, dx(1)(2) + dx(2)(2) - dx(3)(2)) with a finite number of singularities is an entire maximal graph with conelike singularities over any spacelike plane, and so, it is asymptotic to a spacelike plane or a half catenoid. We show that the moduli space G(n) of entire maximal graphs over {x(3) = 0} in L-3 with n + 1 >= 2 singular points and vertical limit normal vector at infinity is a 3n + 4-dimensional differentiable manifold. The convergence in G(n) means the one of conformal structures and Weierstrass data, and it is equivalent to the uniform convergence of graphs on compact subsets of {x(3) = 0}. Moreover, the position of the singular points in R-3 and the logarithmic growth at infinity can be used as global analytical coordinates with the same underlying topology. We also introduce the moduli space M-n of marked graphs with n + 1 singular points (a mark in a graph is an ordering of its singularities), which is a (n + 1)-sheeted covering of G(n). We prove that identifying marked graphs differing by translations, rotations about a vertical axis, homotheties or symmetries about a horizontal plane, the corresponding quotient space (M) over cap (n) is an analytic manifold of dimension 3n - 1. This manifold can be identified with a spinorial bundle S-n associated to the moduli space of Weierstrass data of graphs in G(n).