Invariant Fibrations for some Birational Maps of C²

2017/02/03 by Anna Cima, Cima, Anna, Sundus Zafar +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Analytic and geometric function theory #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1702.00959

openalex publication_date 2017/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In this article we extract and study the zero entropy subfamilies of a certain family of birational maps of the plane. We find these zero entropy mappings and give the invariant fibrations associated to them.

Cited by

• Zero Entropy for Some Birational Maps of C²

Related

• Zero Entropy for Some Birational Maps of C²
• Dynamical Classification of a Family of Birational Maps of C² via Algebraic Entropy
• Birational models of del Pezzo fibrations
• Entropy of holomorphic and rational maps: a survey
• Real dynamics of a family of plane birational maps: trapping regions and entropy zero