Zero entropy for some birational maps of C 2

Anna Cima; Sundus Zafar

doi:10.1016/j.jmaa.2018.11.047

Zero entropy for some birational maps of C ²

Anna Cima, Sundus Zafar

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca

1 Citació (Scopus)

Resum

© 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.

Idioma original	Anglès
Pàgines (de-a)	765-781
Revista	Journal of Mathematical Analysis and Applications
Volum	474
DOIs	https://doi.org/10.1016/j.jmaa.2018.11.047
Estat de la publicació	Publicada - 15 de juny 2019

Accés al document

10.1016/j.jmaa.2018.11.047

https://ddd.uab.cat/record/204387

Altres arxius i enllaços

http://www.mendeley.com/research/zero-entropy-some-birational-maps-c-2

Com citar-ho

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title = "Zero entropy for some birational maps of C 2",

abstract = "{\textcopyright} 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.",

keywords = "Algebraic entropy, Birational map, Blowing up, Fibration, First integral, Periodicity",

author = "Anna Cima and Sundus Zafar",

year = "2019",

month = jun,

day = "15",

doi = "10.1016/j.jmaa.2018.11.047",

language = "English",

volume = "474",

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journal = "Journal of Mathematical Analysis and Applications",

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T1 - Zero entropy for some birational maps of C 2

AU - Cima, Anna

AU - Zafar, Sundus

PY - 2019/6/15

Y1 - 2019/6/15

N2 - © 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.

AB - © 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.

KW - Algebraic entropy

KW - Birational map

KW - Blowing up

KW - Fibration

KW - First integral

KW - Periodicity

UR - http://www.mendeley.com/research/zero-entropy-some-birational-maps-c-2

U2 - 10.1016/j.jmaa.2018.11.047

DO - 10.1016/j.jmaa.2018.11.047

M3 - Article

SN - 0022-247X

VL - 474

SP - 765

EP - 781

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications