Zero entropy for some birational maps of C 2

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Abstract

© 2018 Elsevier Inc. 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 of f and explicitly give the associated invariant fibrations. In particular, we highlight all of the integrable and periodic mappings.
Original languageEnglish
Pages (from-to)765-781
JournalJournal of Mathematical Analysis and Applications
Volume474
DOIs
Publication statusPublished - 15 Jun 2019

Keywords

  • Algebraic entropy
  • Birational map
  • Blowing up
  • Fibration
  • First integral
  • Periodicity

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