Examples of rational maps of $\mathbb {CP}^2$ with equal dynamical degrees and no invariant foliation

Kaschner, Scott R.; Pérez, Rodrigo A.; Roeder, Roland K. W.

Examples of rational maps of

{ℂℙ}^{2}

with equal dynamical degrees and no invariant foliation
[Exemple d'applications rationnelles de

{ℂℙ}^{2}

à degrés dynamiques égaux sans feuilletage invariant]

Kaschner, Scott R. ; Pérez, Rodrigo A. ; Roeder, Roland K. W.

Bulletin de la Société Mathématique de France, Tome 144 (2016) no. 2, pp. 279-297

Abstract (VO)
Résumé

We present simple examples of rational maps of the complex projective plane with equal first and second dynamical degrees and no invariant foliation.

Nous présentons des exemples simples de application rationnelle du plan projectif complexe avec l'égalité des premier et second degrés dynamiques et pas de feuilletage invariant.

MR Zbl

Classification : 37F10, 37F75, 32H50
Keywords: Rational maps, dynamical degrees, invariant foliations.
Mots-clés : Applications rationnelles, degrés dynamiques, feuilletage invariant.

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     author = {Kaschner, Scott R. and P\'erez, Rodrigo A. and Roeder, Roland~K.~W.},
     title = {Examples of rational maps of $\mathbb {CP}^2$ with equal dynamical degrees and no~invariant~foliation},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {279--297},
     year = {2016},
     publisher = {Soci\'et\'e math\'ematique de France},
     volume = {144},
     number = {2},
     mrnumber = {3499082},
     zbl = {1358.37086},
     language = {en},
     url = {https://www.numdam.org/item/BSMF_2016__144_2_279_0/}
}

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Kaschner, Scott R.; Pérez, Rodrigo A.; Roeder, Roland K. W. Examples of rational maps of $\mathbb {CP}^2$ with equal dynamical degrees and no invariant foliation. Bulletin de la Société Mathématique de France, Tome 144 (2016) no. 2, pp. 279-297. https://www.numdam.org/item/BSMF_2016__144_2_279_0/

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