小特征有限域上簇的点计数
数论
2007-05-23 v1 代数几何
摘要
我们给出一种确定性多项式时间算法,用于计算小特征有限域上固定维数任意簇的zeta函数。这一结果的一个推论是:可有效计算小特征有限域上光滑几何连通射影曲线的Jacobi簇上有理点群的阶。
引用
@article{arxiv.math/0612147,
title = {Counting points on varieties over finite fields of small characteristic},
author = {Alan G. B. Lauder and Daqing Wan},
journal= {arXiv preprint arXiv:math/0612147},
year = {2007}
}
备注
To appear in: "Algorithmic number theory: lattices, number fields, curves and cryptography", J.P. Buhler and P. Stevenhagen (ed.), Math. Sci. Res. Inst. Publ. 44. (Submitted July 2001; Accepted October 2002.)