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Cover: 9780521740227 | Introduction to Compact Riemann Surfaces and Dessins d'Enfants | Buch

Rückseite: 9780521740227 | Introduction to Compact Riemann Surfaces and Dessins d'Enfants | Buch

Cover: 9780521740227 | Introduction to Compact Riemann Surfaces and Dessins d'Enfants | Buch

Rückseite: 9780521740227 | Introduction to Compact Riemann Surfaces and Dessins d'Enfants | Buch

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

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Beschreibung

Few books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field of research. In this 2011 book, the authors begin with an elementary account of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups of finite type. They then use this knowledge to introduce the reader to the theory of dessins d'enfants and its connection with algebraic curves defined over number fields. A large number of worked examples are provided to aid understanding, so no experience beyond the undergraduate level is required. Readers without any previous knowledge of the field of dessins d'enfants are taken rapidly to the forefront of current research.

Few books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field of research. In this 2011 book, the authors begin with an elementary account of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups of finite type. They then use this knowledge to introduce the reader to the theory of dessins d'enfants and its connection with algebraic curves defined over number fields. A large number of worked examples are provided to aid understanding, so no experience beyond the undergraduate level is required. Readers without any previous knowledge of the field of dessins d'enfants are taken rapidly to the forefront of current research.

Über den Autor

Ernesto Girondo is Profesor Titular de Geometría y Topología in the Department of Mathematics at Universidad Autónoma de Madrid.

Inhaltsverzeichnis

1. Riemann surfaces and algebraic curves; 2. Riemann surfaces and Fuchsian groups; 3. Belyi's theorem; 4. Dessins d'enfants; References; Index.

Details

Erscheinungsjahr:	2011
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9780521740227
ISBN-10:	0521740223
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Girondo, Ernesto González-Diez, Gabino
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 19 mm
Von/Mit:	Ernesto Girondo (u. a.)
Erscheinungsdatum:	22.12.2011
Gewicht:	0,509 kg

Artikel-ID: 106894673

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