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

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

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.

Original language	English
Pages (from-to)	785-809
Number of pages	25
Journal	Mathematische Annalen
Volume	370
Issue number	1-2
DOIs	https://doi.org/10.1007/s00208-017-1568-5
Publication status	Published - 1 Feb 2018
Externally published	Yes

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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\}",

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

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AU - Matheus, Carlos

AU - Yoccoz, Jean Christophe

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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.

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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

Abstract

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