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tfm_vallespi_rodriguez_eric.pdf (627 KB)

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Master thesis

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2021-06-27

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cc-by-nc-nd (c) Eric Vallespıí Rodríguez, 2020
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/180645

Automorphisms of $\mathbb{C}^{n}$: A survey of the Andersén-Lempert theory

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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).

Description

Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2021, Director: Joaquim Ortega Cerdà

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Aplicacions holomòrfiques, Funcions de diverses variables complexes, Treballs de fi de màster, Automorfismes

Subject (English)

Holomorphic mappings, Functions of several complex variables, Master's theses, Automorphisms

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Màster Oficial - Matemàtica Avançada

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VALLESPÍ RODRÍGUEZ, Eric. Automorphisms of $\mathbb{C}^{n}$: A survey of the Andersén-Lempert theory. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/180645

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