Zero entropy for some birational maps of C2

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:474

Article

Cima, Anna¹  Zafar, Sundus¹ 

[1] Univ Autonoma Barcelona, Fac Ciencies, Dept Matemat, E-08193 Barcelona, Spain

关键词: Algebraic entropy;    Birational map;    Blowing up;    Fibration;    First integral;    Periodicity;   

DOI  :  10.1016/j.jmaa.2018.11.047

来源: Elsevier

【 摘 要 】

In this study, we consider a special case of the family of birational maps f : C-2 -> C-2, which were dynamically classified by [13]. We identify the zero entropy subfamilies off and explicitly give the associated invariant fibrations. In particular, we highlight all of the integrable and periodic mappings. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free