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Dessins d'enfants on Riemann surfaces[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	514.3
書名/作者:	Dessins d'enfants on Riemann surfaces/ by Gareth A. Jones, Jurgen Wolfart.
作者:	Jones, Gareth A.
其他作者:	Wolfart, Jurgen.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xiv, 259 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Dessins d'enfants (Mathematics)
標題:	Riemann surfaces.
標題:	Mathematics.
標題:	Algebraic Geometry.
標題:	Group Theory and Generalizations.
標題:	Functions of a Complex Variable.
標題:	Several Complex Variables and Analytic Spaces.
標題:	Hyperbolic Geometry.
ISBN:	9783319247113
ISBN:	9783319247090
內容註:	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.
摘要、提要註:	This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces. The first part of the book presents basic material, guiding the reader through the current field of research. A key point of the second part is the interplay between the automorphism groups of dessins and their Riemann surfaces, and the action of the absolute Galois group on dessins and their algebraic curves. It concludes by showing the links between the theory of dessins and other areas of arithmetic and geometry, such as the abc conjecture, complex multiplication and Beauville surfaces. Dessins d'Enfants on Riemann Surfaces will appeal to graduate students and all mathematicians interested in maps, hypermaps, Riemann surfaces, geometric group actions, and arithmetic.
電子資源:	http://dx.doi.org/10.1007/978-3-319-24711-3

Dessins d'enfants on Riemann surfaces[electronic resource] /
Jones, Gareth A.

Dessins d'enfants on Riemann surfaces[electronic resource] /by Gareth A. Jones, Jurgen Wolfart. - Cham :Springer International Publishing :2016. - xiv, 259 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

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.

This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces. The first part of the book presents basic material, guiding the reader through the current field of research. A key point of the second part is the interplay between the automorphism groups of dessins and their Riemann surfaces, and the action of the absolute Galois group on dessins and their algebraic curves. It concludes by showing the links between the theory of dessins and other areas of arithmetic and geometry, such as the abc conjecture, complex multiplication and Beauville surfaces. Dessins d'Enfants on Riemann Surfaces will appeal to graduate students and all mathematicians interested in maps, hypermaps, Riemann surfaces, geometric group actions, and arithmetic.

ISBN: 9783319247113

Standard No.: 10.1007/978-3-319-24711-3doiSubjects--Topical Terms:

639802
Dessins d'enfants (Mathematics)

LC Class. No.: QA613.2

Dewey Class. No.: 514.3

Dessins d'enfants on Riemann surfaces[electronic resource] /
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