Dessins d'enfants on Riemann surfaces

書誌事項

Dessins d'enfants on Riemann surfaces

Gareth A. Jones, Jürgen Wolfart

(Springer monographs in mathematics)

Springer, c2016

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

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.

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詳細情報

  • NII書誌ID(NCID)
    BB21062856
  • ISBN
    • 9783319247090
  • LCCN
    2016931853
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cham
  • ページ数/冊数
    xiv, 259 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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