The Library
Bounded type Siegel disks of finite type maps with few singular values
Tools
Tools
Tools
Cheritat, Arnaud and Epstein, Adam L. (2018) Bounded type Siegel disks of finite type maps with few singular values. Science China Mathematics, 61 (12). pp. 2139-2156. doi:10.1007/s11425-018-9381-4 ISSN 1674-7283.
|
PDF
WRAP-bounded-type-siegel-disks-finite-maps-values-Epstein-2018.pdf - Accepted Version - Requires a PDF viewer. Download (830Kb) | Preview |
Official URL: https://doi.org/10.1007/s11425-018-9381-4
Abstract
Let U be an open subset of the Riemann sphere C^ . We give sufficient conditions for which a finite type map f: U → C^ with at most three singular values has a Siegel disk compactly contained in U and whose boundary is a quasicircle containing a unique critical point. The main tool is quasiconformal surgery à la Douady-Ghys-Herman-Świątek. We also give sufficient conditions for which, instead, Δ has not compact closure in U. The main tool is the Schwarzian derivative and area inequalities à la Graczyk-Świątek.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Mappings (Mathematics), Riemann surfaces | ||||||||
| Journal or Publication Title: | Science China Mathematics | ||||||||
| Publisher: | Zhongguo Kexue Zazhishe | ||||||||
| ISSN: | 1674-7283 | ||||||||
| Official Date: | December 2018 | ||||||||
| Dates: |
|
||||||||
| Volume: | 61 | ||||||||
| Number: | 12 | ||||||||
| Page Range: | pp. 2139-2156 | ||||||||
| DOI: | 10.1007/s11425-018-9381-4 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Reuse Statement (publisher, data, author rights): | This is a post-peer-review, pre-copyedit version of an article published in Science China Mathematics. The final authenticated version is available online at: https://doi.org/10.1007/s11425-018-9381-4 | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Date of first compliant deposit: | 31 January 2019 | ||||||||
| Date of first compliant Open Access: | 20 November 2019 | ||||||||
| Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
