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

Vallespí Rodríguez, Eric

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

dc.contributor.advisor	Ortega Cerdà, Joaquim
dc.contributor.author	Vallespí Rodríguez, Eric
dc.date.accessioned	2021-10-19T08:29:25Z
dc.date.available	2021-10-19T08:29:25Z
dc.date.issued	2021-06-27
dc.description	Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2021, Director: Joaquim Ortega Cerdà	ca
dc.description.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).	ca
dc.format.extent	52 p.
dc.format.mimetype	application/pdf
dc.identifier.uri	https://hdl.handle.net/2445/180645
dc.language.iso	eng	ca
dc.rights	cc-by-nc-nd (c) Eric Vallespıí Rodríguez, 2020
dc.rights.accessRights	info:eu-repo/semantics/openAccess	ca
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/es/	*
dc.source	Màster Oficial - Matemàtica Avançada
dc.subject.classification	Aplicacions holomòrfiques	cat
dc.subject.classification	Funcions de diverses variables complexes	cat
dc.subject.classification	Treballs de fi de màster	cat
dc.subject.classification	Automorfismes	ca
dc.subject.other	Holomorphic mappings	eng
dc.subject.other	Functions of several complex variables	eng
dc.subject.other	Master's theses	eng
dc.subject.other	Automorphisms	eng
dc.title	Automorphisms of $\mathbb{C}^{n}$: A survey of the Andersén-Lempert theory	ca
dc.type	info:eu-repo/semantics/masterThesis	ca

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