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http://hdl.handle.net/2445/180645| Title: | Automorphisms of $\mathbb{C}^{n}$: A survey of the Andersén-Lempert theory |
| Author: | Vallespí Rodríguez, Eric |
| Director/Tutor: | Ortega Cerdà, Joaquim |
| Keywords: | Aplicacions holomòrfiques Funcions de diverses variables complexes Treballs de fi de màster Automorfismes Holomorphic mappings Functions of several complex variables Master's theses Automorphisms |
| Issue Date: | 27-Jun-2021 |
| Abstract: | [en] In this project, we study the automorphisms of $\mathbb{C}^{n}$. We give a proof of the Global Andersén Lempert Theorem (Theorem 3.1) as well as the Local Andersén Lempert Theorem (Theorem 3.11). We illustrate the importance of these results by giving three geometric applications (Theorems 4.1, 4.10, and 4.18). |
| Note: | Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2021, Director: Joaquim Ortega Cerdà |
| URI: | http://hdl.handle.net/2445/180645 |
| Appears in Collections: | Màster Oficial - Matemàtica Avançada |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| tfm_vallespi_rodriguez_eric.pdf | Memòria | 627 kB | Adobe PDF | View/Open |
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