Zero entropy for some birational maps of C²
Cimà, Anna (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Zafar, Sundus (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2019
Abstract:	In this study, we consider a special case of the family of birational maps f:C² → C² , 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.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Algebraic entropy ; Birational map ; Blowing up ; Fibration ; First integral ; Periodicity
Published in:	Journal of mathematical analysis and applications, Vol. 474, Issue 2 (June 2019) , p. 765-781, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2018.11.047

Postprint 21 p, 408.3 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles