Zorich conjecture for hyperelliptic Rauzy–Veech groups

Artur Avila; Carlos Matheus; Jean Christophe Yoccoz

doi:10.1007/s00208-017-1568-5

Zorich conjecture for hyperelliptic Rauzy–Veech groups

Artur Avila
, Carlos Matheus
, Jean Christophe Yoccoz

Université Paris Cité
IMPA
University Paris 13
Collège de France

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We describe the structure of hyperelliptic Rauzy diagrams and hyperelliptic Rauzy–Veech groups. In particular, this provides a solution of the hyperelliptic cases of a conjecture of Zorich on the Zariski closure of Rauzy–Veech groups.

langue originale	Anglais
Pages (de - à)	785-809
Nombre de pages	25
journal	Mathematische Annalen
Volume	370
Numéro de publication	1-2
Les DOIs	https://doi.org/10.1007/s00208-017-1568-5
état	Publié - 1 févr. 2018
Modification externe	Oui

Accès au document

10.1007/s00208-017-1568-5

Contient cette citation

@article{fe4df9ce1cf9495094f92198f0d9a899,

title = "Zorich conjecture for hyperelliptic Rauzy–Veech groups",

abstract = "We describe the structure of hyperelliptic Rauzy diagrams and hyperelliptic Rauzy–Veech groups. In particular, this provides a solution of the hyperelliptic cases of a conjecture of Zorich on the Zariski closure of Rauzy–Veech groups.",

author = "Artur Avila and Carlos Matheus and Yoccoz, \{Jean Christophe\}",

note = "Publisher Copyright: {\textcopyright} 2017, Springer-Verlag GmbH Deutschland.",

year = "2018",

month = feb,

day = "1",

doi = "10.1007/s00208-017-1568-5",

language = "English",

volume = "370",

pages = "785--809",

journal = "Mathematische Annalen",

issn = "0025-5831",

publisher = "Springer New York",

number = "1-2",

}

TY - JOUR

T1 - Zorich conjecture for hyperelliptic Rauzy–Veech groups

AU - Avila, Artur

AU - Matheus, Carlos

AU - Yoccoz, Jean Christophe

PY - 2018/2/1

Y1 - 2018/2/1

N2 - We describe the structure of hyperelliptic Rauzy diagrams and hyperelliptic Rauzy–Veech groups. In particular, this provides a solution of the hyperelliptic cases of a conjecture of Zorich on the Zariski closure of Rauzy–Veech groups.

AB - We describe the structure of hyperelliptic Rauzy diagrams and hyperelliptic Rauzy–Veech groups. In particular, this provides a solution of the hyperelliptic cases of a conjecture of Zorich on the Zariski closure of Rauzy–Veech groups.

U2 - 10.1007/s00208-017-1568-5

DO - 10.1007/s00208-017-1568-5

M3 - Article

AN - SCOPUS:85023159358

SN - 0025-5831

VL - 370

SP - 785

EP - 809

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1-2

ER -

Zorich conjecture for hyperelliptic Rauzy–Veech groups

Résumé

Accès au document

Empreinte digitale

Contient cette citation