Titlebook: Dessins d‘Enfants on Riemann Surfaces; Gareth A. Jones,Jürgen Wolfart Book 2016 Springer International Publishing Switzerland 2016 Dessins

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1439-7382 on dessins and their algebraic curves.Emphasises the role oThis 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 po

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Book 2016uville 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..

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An Introduction to Relativistic Gravity maps, and we briefly consider the classification for .?=?2. We also outline how one can classify regular maps in terms of their automorphism group, and we consider which groups can arise in this context.

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Introduction, History and Outline group of all operations on dessins, introduced by James, showing that it is isomorphic to the outer automorphism group of the free group of rank 2, and hence to .. As an example we consider the action of this group on the 19 regular dessins with automorphism group ...

esoteric

Regular Maps maps, and we briefly consider the classification for .?=?2. We also outline how one can classify regular maps in terms of their automorphism group, and we consider which groups can arise in this context.

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Book 2016resents 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

Mundane

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Dark Matter and Galaxy Formationtheoretic criterion for elliptic curves (those of genus?1) to have complex multiplication, that is, to have non-trivial endomorphisms. This criterion relies on a very special property of curves and dessins of genus?1, that they have infinitely many unramified self-coverings.