%0 Journal Article %T Fitting ideals and multiple-points of surface parameterizations %A Nicol¨¢s Botbol %A Laurent Bus¨¦ %A Marc Chardin %J Mathematics %D 2013 %I arXiv %X Given a birational parameterization of an algebraic surface S in the projective space, the purpose of this paper is to investigate the sets of points on S whose preimage consists in k or more points, counting multiplicities. They are described explicitly in terms of Fitting ideals of some graded parts of the symmetric algebra associated to this parameterization. %U http://arxiv.org/abs/1310.4915v1