The following preprint is now available on arXiv, http://arxiv.org/abs/1005.4236 A. Kock and J. Kock: Local fibered right adjoints are polynomial Abstract: For any locally cartesian closed category E, we prove that a local fibered right adjoint between slices of E is given by a polynomial. The slices in question are taken in a well known fibered sense. [For admin and other information see: http://www.mta.ca/~cat-dist/ ]