A reflection mapping is a singular holomorphic mapping obtained by restricting the quotient mapping of a complex reflection group. We study the analytic structure of double point spaces of reflection mappings. In the case where the image is a hypersurface, we obtain explicit equations for the double point space and for the image as well. In the case of surfaces in C3, this gives a very efficient method to compute the Milnor number and delta invariant of the double point curve.

Joint work with J. R. Borges-Zampiva (UFSCar), G. Peñafort-Sanchis (Universidade de Valência) e J. N. Tomazella (UFSCar).