仿射平面正则多项式自同构的几何动态Northcott性质

IF 0.5 4区数学 Q3 MATHEMATICS

Bulletin De La Societe Mathematique De France Pub Date : 2023-03-08 DOI:10.24033/bsmf.2858

Thomas Gauthier, Gabriel Vigny

引用次数: 0

摘要

我们建立了特征为零的函数场$\mathbf{K}$上仿射平面正则多项式自同构的周期点的有限性，我们称之为几何动态Northcott性质，改进了Ingram的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The geometric dynamical Northcott property for regular polynomial automorphisms of the affine plane

We establish the finiteness of periodic points, that we called Geometric Dynamical Northcott Property, for regular polynomials automorphisms of the affine plane over a function field $\mathbf{K}$ of characteristic zero, improving results of Ingram.

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来源期刊

Bulletin De La Societe Mathematique De France 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin de la Société Mathématique de France was founded in 1873, and it has published works by some of the most prestigious mathematicians, including for example H. Poincaré, E. Borel, E. Cartan, A. Grothendieck and J. Leray. It continues to be a journal of the highest mathematical quality, using a rigorous refereeing process, as well as a discerning selection procedure. Its editorial board members have diverse specializations in mathematics, ensuring that articles in all areas of mathematics are considered. Promising work by young authors is encouraged.