二维可积映射与有理椭圆曲面的分类
A classification of two dimensional integrable mappings and rational elliptic surfaces
摘要：
通过研究有理椭圆曲面在纤维空间上的作用，对二维可积映射进行了分类。虽然QRT映射可以限制在每个纤维上，但存在几类交换纤维的可积映射。我们还证明了当广义的Heducen曲面成为指数为m的Heducen曲面时的一个等价条件。
英文摘要：
We classify two dimensional integrable mappings by investigating the actions on the fiber space of rational elliptic surfaces. While the QRT mappings can be restricted on each fiber, there exist several classes of integrable mappings which exchange fibers. We also show an equivalent condition when a generalized Halphen surface becomes a Halphen surface of index m.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
