Ortega Cerdà, JoaquimVallespí Rodríguez, Eric2021-10-192021-10-192021-06-27https://hdl.handle.net/2445/180645Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2021, Director: Joaquim Ortega Cerdà[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).52 p.application/pdfengcc-by-nc-nd (c) Eric Vallespıí Rodríguez, 2020http://creativecommons.org/licenses/by-nc-nd/3.0/es/Aplicacions holomòrfiquesFuncions de diverses variables complexesTreballs de fi de màsterAutomorfismesHolomorphic mappingsFunctions of several complex variablesMaster's thesesAutomorphismsinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccess