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

评论性

An Introduction to Relativistic Gravity the Platonic solids. These, together with the dihedra and their duals, the hosohedra (meaning ‘with many faces’), are the regular maps on the sphere. In this chapter we study their generalisations to maps on compact Riemann surfaces of arbitrary genus. We show how to classify regular maps in terms

袋鼠

The Thermal History of the Universelar dessins. However, the methods for classifying regular maps in terms of their embedded graphs are much more specific to maps, and do not extend so easily to other dessins. Gardiner, Nedela, Širáň and Škoviera developed a general strategy for this problem, involving the search for subgroups of the

Herd-Immunity

Introduction, History and Outlinethe corresponding algebraic curve, and a major step in determining this is to understand the action of the absolute Galois group . on regular dessins. Under relatively mild conditions this action can be described combinatorially with some map and hypermap operations, the so-called Wilson (hole) oper

conformity

The Large Scale Structure of the Universed Paley graphs (using Cayley maps for finite fields), and the complete bipartite graphs ... We describe their automorphism groups, and characterise the generalised Paley maps as those maps for which the automorphism group acts primitively and faithfully on the vertices. In the case of the complete b

follicular-unit

Dark Matter and Galaxy Formation., ., . satisfying ., in terms of the primes dividing them. Closely related to some of the deepest theorems and most difficult conjectures in number theory, it is a major open problem. However, its analogue for meromorphic functions on compact Riemann surfaces is comparatively easy to solve. In this

使困惑

An Introduction to Relativistic Gravitywhich we have considered so far. They are formed from certain pairs of regular dessins with the same automorphism group . (called a Beauville group) acting freely on their product. In the first section of the chapter we describe the basic theory of Beauville surfaces, in particular their constructio

Canopy

吵闹

变色龙

Dessins d‘Enfants on Riemann Surfaces978-3-319-24711-3Series ISSN 1439-7382 Series E-ISSN 2196-9922

Entrancing

Gareth A. Jones,Jürgen WolfartProvides basic material about maps and hypermaps on Riemann surfaces.Presents many elementary and less elementary examples of Galois actions on dessins and their algebraic curves.Emphasises the role o