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.
Avila, Artur; Matheus, Carlos; Yoccoz, Jean-Christophe (2018). Zorich conjecture for hyperelliptic Rauzy–Veech groups. Mathematische Annalen, 370(1-2):785-809.
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.
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Additional indexing
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Language: | English |
| Date: | 1 February 2018 |
| Deposited On: | 15 Nov 2018 14:11 |
| Last Modified: | 29 Nov 2023 08:15 |
| Publisher: | Springer |
| ISSN: | 0025-5831 |
| Additional Information: | This is a post-peer-review, pre-copyedit version of an article published in Mathematische Annalen. The final authenticated version is available online at: https://doi.org/10.1007/s00208-017-1568-5 |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.1007/s00208-017-1568-5 |
Avila, Artur