Generalized character sums associated to regular prehomogeneous vector spaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 $l$-adique cohomology.
AMSLatex, 16 pages, new theorem added

Keywords

Algebraic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/78723

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9906173
 http://arxiv.org/abs/math/9906173

Collections

arXiv