標題: Titlebook: Dessins d‘Enfants on Riemann Surfaces; Gareth A. Jones,Jürgen Wolfart Book 2016 Springer International Publishing Switzerland 2016 Dessins [打印本頁] 作者: Fixate 時間: 2025-3-21 16:51
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作者: dysphagia 時間: 2025-3-21 23:03
Dessins and Triangle Groupsa dessin as a graph embedded in a compact oriented surface leads to a unique conformal structure on this surface, so that the dessin corresponds to a Bely? function on the resulting Riemann surface. This shows that our previous definitions of dessins (via Bely? functions, embedded graphs or permutat作者: 清醒 時間: 2025-3-22 02:20 作者: 懶惰人民 時間: 2025-3-22 07:49
Quasiplatonic Surfaces, and Automorphismsrts, the curves with trivial automorphism group, quasiplatonic curves can be defined over their field of moduli. Many of the automorphism groups appearing in this chapter are 2-dimensional linear or projective groups over finite fields, so we summarise their most relevant properties in the final sec作者: allergen 時間: 2025-3-22 10:31
Regular Embeddings of Complete Graphsley graphs for the additive groups of finite fields. We enumerate such maps, and show that their automorphism groups are 1-dimensional affine groups. We also show how these maps are related to cyclotomic polynomials, and to primitive polynomials over finite fields.作者: Foreknowledge 時間: 2025-3-22 14:12 作者: Foreknowledge 時間: 2025-3-22 17:56
Beauville Surfacesion we discuss topological invariants of a Beauville surface, such as its Euler characteristic, fundamental group and automorphism group, and their behaviour under Galois actions. We consider conditions under which a Beauville surface has a real model, and we give examples of Serre’s observation tha作者: Congestion 時間: 2025-3-23 01:04
1439-7382 , 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..978-3-319-79664-2978-3-319-24711-3Series ISSN 1439-7382 Series E-ISSN 2196-9922 作者: spinal-stenosis 時間: 2025-3-23 03:51
L. Infante,Steffen Mieske,M. Hilkeron the existence of meromorphic functions with specific properties. In the final section we define Bely? functions and prove one direction of Bely?’s theorem, that such functions characterise algebraic curves defined over number fields, by using an algorithm which constructs a Bely? function on such作者: 推崇 時間: 2025-3-23 06:57
The Evolution of Brightest Cluster Galaxiesa dessin as a graph embedded in a compact oriented surface leads to a unique conformal structure on this surface, so that the dessin corresponds to a Bely? function on the resulting Riemann surface. This shows that our previous definitions of dessins (via Bely? functions, embedded graphs or permutat作者: Glaci冰 時間: 2025-3-23 13:25 作者: acrimony 時間: 2025-3-23 16:58
https://doi.org/10.1007/978-3-662-03571-9rts, the curves with trivial automorphism group, quasiplatonic curves can be defined over their field of moduli. Many of the automorphism groups appearing in this chapter are 2-dimensional linear or projective groups over finite fields, so we summarise their most relevant properties in the final sec作者: Statins 時間: 2025-3-23 20:11 作者: osteocytes 時間: 2025-3-23 22:49 作者: 神圣在玷污 時間: 2025-3-24 05:59 作者: 防銹 時間: 2025-3-24 07:54
L. Infante,Steffen Mieske,M. Hilkernineteenth-century work on Riemann surfaces, algebraic curves and holomorphic functions, and twentieth-century research on regular maps, to the fundamental and far-reaching ideas circulated by Grothendieck in the 1980s, and subsequent efforts to implement his programme. After this we summarise the b作者: 忙碌 時間: 2025-3-24 12:26 作者: uncertain 時間: 2025-3-24 15:11
The Evolution of Brightest Cluster Galaxiesn mapping theorem. We describe the classification of cocompact Fuchsian groups, and the local and global properties of quotients of the hyperbolic plane by such groups. We discuss the inclusion relations between these groups, classified by Singerman, giving particular attention to triangle groups. T作者: Desert 時間: 2025-3-24 20:16
Elisabeth Vangioni-Flam,Michel Casséunction fields. The latter examples provide a link between Galois groups and covering groups for regular coverings. Another important example is the absolute Galois group ., the automorphism group of the field of all algebraic numbers: as the projective limit of the (finite) Galois groups of the Gal作者: COKE 時間: 2025-3-25 03:07 作者: 評論性 時間: 2025-3-25 05:26
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 作者: 袋鼠 時間: 2025-3-25 07:35
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, ?iráň and ?koviera developed a general strategy for this problem, involving the search for subgroups of the作者: Herd-Immunity 時間: 2025-3-25 11:57
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作者: conformity 時間: 2025-3-25 18:44
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作者: follicular-unit 時間: 2025-3-25 22:51
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作者: 使困惑 時間: 2025-3-26 00:31
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作者: Canopy 時間: 2025-3-26 04:39 作者: 吵鬧 時間: 2025-3-26 09:29 作者: 變色龍 時間: 2025-3-26 15:24
Dessins d‘Enfants on Riemann Surfaces978-3-319-24711-3Series ISSN 1439-7382 Series E-ISSN 2196-9922 作者: Entrancing 時間: 2025-3-26 19:04
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作者: Evacuate 時間: 2025-3-27 00:37 作者: bronchodilator 時間: 2025-3-27 04:00
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作者: 詼諧 時間: 2025-3-27 09:12
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..作者: Perennial長期的 時間: 2025-3-27 12:59
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.作者: HAUNT 時間: 2025-3-27 17:40
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 ...作者: esoteric 時間: 2025-3-27 19:07
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.作者: 懶惰民族 時間: 2025-3-27 22:25 作者: 吹牛需要藝術 時間: 2025-3-28 04:59
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 作者: Mundane 時間: 2025-3-28 07:08 作者: Negotiate 時間: 2025-3-28 11:04
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.作者: Diuretic 時間: 2025-3-28 16:09 作者: 債務 時間: 2025-3-28 19:56
Arithmetic Aspectstheoretic 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.作者: 夜晚 時間: 2025-3-28 23:36 作者: 確定無疑 時間: 2025-3-29 05:25 作者: forecast 時間: 2025-3-29 08:47
Dessins and Triangle Groupsn mapping theorem. We describe the classification of cocompact Fuchsian groups, and the local and global properties of quotients of the hyperbolic plane by such groups. We discuss the inclusion relations between these groups, classified by Singerman, giving particular attention to triangle groups. T作者: Flounder 時間: 2025-3-29 14:00
Galois Actionsunction fields. The latter examples provide a link between Galois groups and covering groups for regular coverings. Another important example is the absolute Galois group ., the automorphism group of the field of all algebraic numbers: as the projective limit of the (finite) Galois groups of the Gal
