Null surfaces and their singularities in three-dimensional Minkowski space-time

In this work we integrate the null geodesic equations in three-dimensional Minkowski space-time in order to obtain the light-cone cut function; that i s, the function that describes the intersection, C-xa, of the light cone fr om each space-time point, x(a), with future null infinity I+. Furthermore, using this result, we locate the singularities of the null surface obtained as the envelope of the past light cones from points on a deformed light-co ne cut of I+.