%0 Journal Article
%T Bounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifolds
%A Ulrich Goertz
%A Thomas J. Haines
%J Mathematics
%D 2005
%I arXiv
%X We study certain nearby cycles sheaves on an affine flag manifold which arise naturally in the Beilinson-Gaitsgory deformation of the affine flag manifold to the affine Grassmannian. We study the multiplicity functions we introduced in an earlier paper, which encode the data of the Jordan-Hoelder series. We prove the multiplicity functions are polynomials in q, and we give a sharp bound for their degrees. Our results apply as well to the nearby cycles in the p-adic deformation of Laumon-Haines-Ngo, and also to Wakimoto sheaves.
%U http://arxiv.org/abs/math/0502499v1