The pointwise convergence of p-adic Mbius maps

作     者：WANG YueFei YANG JingHua 

作者机构：Institute of MathematicsAcademy of Mathematics and Systems ScienceChinese Academy of Sciences 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2014年第57卷第1期

页      面：1-8页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.10831004 and 11301510) 

主　　题：p-adic Mbius maps pointwise convergence Berkovich space 

摘      要：The convergence of linear fractional transformations is an important topic in *** study the pointwise convergence of p-adic Mbius maps,and classify the possibilities of limits of pointwise convergent sequences of Mbius maps acting on the projective line P1(C p),where C p is the completion of the algebraic closure of Q *** show that if the set of pointwise convergence of a sequence of p-adic Mbius maps contains at least three points,the sequence of p-adic Mbius maps either converges to a p-adic Mbius map on the projective line P1(C p),or converges to a constant on the set of pointwise convergence with one unique exceptional *** result generalizes the result of Piranian and Thron(1957)to the non-archimedean settings.