Weights of twisted exponential sums |
| |
Authors: | Lei Fu |
| |
Affiliation: | (1) Chern Institute of Mathematics and LPMC, Nankai University, 300071 Tianjin, People’s Republic of China |
| |
Abstract: | Let k be a finite field of characteristic p, l a prime number different from p, a nontrivial additive character, and a character on . Then ψ defines an Artin-Schreier sheaf on the affine line , and χ defines a Kummer sheaf on the n-dimensional torus . Let be a Laurent polynomial. It defines a k-morphism . In this paper, we calculate the weights of under some non-degeneracy conditions on f. Our results can be used to estimate sums of the form where are multiplicative characters, is a nontrivial additive character, and f
1 , . . . , f
m
, f are Laurent polynomials.
The research is supported by the NSFC (10525107). |
| |
Keywords: | Toric scheme Perverse sheaf Weight |
本文献已被 SpringerLink 等数据库收录! |
|