Dessins d'Enfants on Riemann Surfaces

Author:   Gareth A. Jones ,  Jürgen Wolfart
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
ISBN:  

9783319247090


Pages:   259
Publication Date:   05 April 2016
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Dessins d'Enfants on Riemann Surfaces


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Full Product Details

Author:   Gareth A. Jones ,  Jürgen Wolfart
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Dimensions:   Width: 15.50cm , Height: 1.80cm , Length: 23.50cm
Weight:   5.384kg
ISBN:  

9783319247090


ISBN 10:   3319247093
Pages:   259
Publication Date:   05 April 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Historical and introductory background.- Graph embeddings.- Dessins and triangle groups.- Galois actions.- Quasiplatonic surfaces, and automorphisms.- Regular maps.- Regular embeddings of complete graphs.- Wilson operations.- Further examples.- Arithmetic aspects.- Beauville surfaces.

Reviews

The book is intended for properly trained mathematics graduate students or researchers. ... The text is also regularly interrupted by formulations of exercises which ask to prove some intermediate result or apply a definition in a particular situation (some brief hints are added at the end of the book). The book can thus be used as a textbook for a course on this fascinating topic. (Adhemar Bultheel, European Mathematical Society, euro-math-soc.eu, April, 2016)


The book under review provides a very useful insight into the theory of dessins, and on its deep relationship with a number of mathematical distant fields. It is excellently written, and the Chapters are somewhat independent, in the sense that they have their own abstract, keywords and references. Of course, it is worth noting that the authors have contributed themselves to many of the results included in the book, most of which are really recent. (Jose Javier Etayo, zbMATH, August, 2017) This book allows the reader familiar with the analytic aspects of the theory of Riemann surfaces to develop a feeling for the arithmetic aspects of these objects. ... The reader interested in diving deeper into any of these aspects will most certainly find this well-written book to be of much help. (Ariyan Javanpeykar, Mathematical Reviews, January, 2017) The book is intended for properly trained mathematics graduate students or researchers. ... The text is also regularly interrupted by formulations of exercises which ask to prove some intermediate result or apply a definition in a particular situation (some brief hints are added at the end of the book). The book can thus be used as a textbook for a course on this fascinating topic. (Adhemar Bultheel, European Mathematical Society, euro-math-soc.eu, April, 2016)


The book under review provides a very useful insight into the theory of dessins, and on its deep relationship with a number of mathematical distant fields. It is excellently written, and the Chapters are somewhat independent, in the sense that they have their own abstract, keywords and references. Of course, it is worth noting that the authors have contributed themselves to many of the results included in the book, most of which are really recent. (Jose Javier Etayo, zbMATH, August, 2017) This book allows the reader familiar with the analytic aspects of the theory of Riemann surfaces to develop a feeling for the arithmetic aspects of these objects. ... The reader interested in diving deeper into any of these aspects will most certainly find this well-written book to be of much help. (Ariyan Javanpeykar, Mathematical Reviews, January, 2017) The book is intended for properly trained mathematics graduate students or researchers. ... The text is also regularly interrupted by formulations of exercises which ask to prove some intermediate result or apply a definition in a particular situation (some brief hints are added at the end of the book). The book can thus be used as a textbook for a course on this fascinating topic. (Adhemar Bultheel, European Mathematical Society, euro-math-soc.eu, April, 2016)


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