Webs invariant by rational maps on surfaces

Charles Favre; Jorge Vitório Pereira

doi:10.1007/s12215-015-0207-9

Webs invariant by rational maps on surfaces

Charles Favre, Jorge Vitório Pereira

IMPA

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that under mild hypothesis rational maps on a surface preserving webs are Lattès-like. We classify endomorphisms of $$\mathbb {P}^2$$P2 preserving webs, extending former results of Dabija-Jonsson.

Original language	English
Pages (from-to)	403-431
Number of pages	29
Journal	Rendiconti del Circolo Matematico di Palermo
Volume	64
Issue number	3
DOIs	https://doi.org/10.1007/s12215-015-0207-9
Publication status	Published - 1 Dec 2015

Keywords

Lattès-like maps
Rational maps
Webs

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10.1007/s12215-015-0207-9

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title = "Webs invariant by rational maps on surfaces",

abstract = "We prove that under mild hypothesis rational maps on a surface preserving webs are Latt{\`e}s-like. We classify endomorphisms of \$\$\textbackslash{}mathbb \{P\}\textasciicircum{}2\$\$P2 preserving webs, extending former results of Dabija-Jonsson.",

keywords = "Latt{\`e}s-like maps, Rational maps, Webs",

author = "Charles Favre and Pereira, \{Jorge Vit{\'o}rio\}",

note = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Italia.",

year = "2015",

month = dec,

day = "1",

doi = "10.1007/s12215-015-0207-9",

language = "English",

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pages = "403--431",

journal = "Rendiconti del Circolo Matematico di Palermo",

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AU - Favre, Charles

AU - Pereira, Jorge Vitório

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N2 - We prove that under mild hypothesis rational maps on a surface preserving webs are Lattès-like. We classify endomorphisms of $$\mathbb {P}^2$$P2 preserving webs, extending former results of Dabija-Jonsson.

AB - We prove that under mild hypothesis rational maps on a surface preserving webs are Lattès-like. We classify endomorphisms of $$\mathbb {P}^2$$P2 preserving webs, extending former results of Dabija-Jonsson.

KW - Lattès-like maps

KW - Rational maps

KW - Webs

U2 - 10.1007/s12215-015-0207-9

DO - 10.1007/s12215-015-0207-9

M3 - Article

AN - SCOPUS:84946743255

SN - 0009-725X

VL - 64

SP - 403

EP - 431

JO - Rendiconti del Circolo Matematico di Palermo

JF - Rendiconti del Circolo Matematico di Palermo

IS - 3

ER -

Webs invariant by rational maps on surfaces

Abstract

Keywords

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