The Hasse-Weil Bound and Integrability Detection in Rational Maps

被引：0

作者：

John A G Roberts

Danesh Jogia

Franco Vivaldi

机构：

[1] The University of New South Wales,School of Mathematics

[2] University of London,School of Mathematical Sciences, Queen Mary

来源：

Journal of Nonlinear Mathematical Physics | 2003年 / 10卷 / Suppl 2期

关键词：

D O I：

10.2991/jnmp.2003.10.s2.15

中图分类号：

学科分类号：

摘要：

We reduce planar measure-preserving rational maps over finite fields, and study their discrete dynamics. We show that application to the orbit analysis over these fields of the Hasse-Weil bound for the number of points on an algebraic curve gives a strong indication of the existence of an integral for the map. Moreover, the method is ideally suited to separating near-integrability from genuine integrability.

引用

页码：166 / 180

页数：14

共 33 条

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