复射影平面上有理映射的法图集的Steinness
Steinness of the Fatou set for a rational map of the complex projective plane
摘要：
对于次数至少为2的复射影平面上的控制代数稳定有理自映射，考虑了法图集的三种不同定义，并证明了它们的等价性.因此，所有Fatou组件都是Stein。这是对Fornaess和Sibony早期结果的改进。
英文摘要：
For a dominant algebraically stable rational self-map of the complex projective plane of degree at least 2, we will consider three different definitions of Fatou set and show the equivalence of them. Consequently, it follows that all Fatou components are Stein. This is an improvement of an early result by Fornaess and Sibony.
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。
