%0 Journal Article %T Fibers of Projections and Submodules of Deformations %A Roya Beheshti %A David Eisenbud %J Mathematics %D 2009 %I arXiv %X We bound the complexity of the fibers of the generic linear projection of a smooth variety in terms of a new family of invariants. These invariants are closely related to ideas of John Mather, and we give a simple proof of his bound on the Thom-Boardman invariants of a generic projection as an application. %U http://arxiv.org/abs/0911.3924v1