Generalized character sums associated to regular prehomogeneous vector spaces
Algebraic Geometry
2007-05-23 v3
Abstract
In this paper we consider the analogue of the Sato's functional equation for the prehomogeneous vector spaces over finite fields. The corresponding character sums depend on a relative invariant on such a space and an irreducible representation of the group of components of the stabilizer of a generic point. The proof is based on the Picard-Lefschetz formula in -adique cohomology.
Cite
@article{arxiv.math/9906173,
title = {Generalized character sums associated to regular prehomogeneous vector spaces},
author = {David Kazhdan and Alexander Polishchuk},
journal= {arXiv preprint arXiv:math/9906173},
year = {2007}
}
Comments
AMSLatex, 16 pages, new theorem added